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Finding the Fourth Proportional to 312,984,418,635.55, 469,476,627,953.32 and 312,984,418,635.55

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Solution

The fourth proportional to 312,984,418,635.55, 469,476,627,953.32 and 312,984,418,635.55 is: 469,476,627,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,984,418,635.55 : 469,476,627,953.32 = 312,984,418,635.55 : x
  2. Step 2: Convert to fraction form
    312,984,418,635.55/469,476,627,953.32 = 312,984,418,635.55/x
  3. Step 3: Cross multiply
    312,984,418,635.55x = 469,476,627,953.32 × 312,984,418,635.55
  4. Step 4: Simplify right side
    312,984,418,635.55x = 146,938,869,462,948,259,037,184
  5. Step 5: Solve for x
    x = 146,938,869,462,948,259,037,184/312,984,418,635.55
  6. Step 6: Final answer
    x = 469,476,627,953.32

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.