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Finding the Fourth Proportional to 306,537,310.35, 459,805,965.53 and 306,537,310.35

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Solution

The fourth proportional to 306,537,310.35, 459,805,965.53 and 306,537,310.35 is: 459,805,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,537,310.35 : 459,805,965.53 = 306,537,310.35 : x
  2. Step 2: Convert to fraction form
    306,537,310.35/459,805,965.53 = 306,537,310.35/x
  3. Step 3: Cross multiply
    306,537,310.35x = 459,805,965.53 × 306,537,310.35
  4. Step 4: Simplify right side
    306,537,310.35x = 140,947,683,954,918,336
  5. Step 5: Solve for x
    x = 140,947,683,954,918,336/306,537,310.35
  6. Step 6: Final answer
    x = 459,805,965.53

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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.