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Finding the Fourth Proportional to 977,462,549.70, 1,466,193,824.55 and 977,462,549.70

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Solution

The fourth proportional to 977,462,549.70, 1,466,193,824.55 and 977,462,549.70 is: 1,466,193,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,462,549.70 : 1,466,193,824.55 = 977,462,549.70 : x
  2. Step 2: Convert to fraction form
    977,462,549.70/1,466,193,824.55 = 977,462,549.70/x
  3. Step 3: Cross multiply
    977,462,549.70x = 1,466,193,824.55 × 977,462,549.70
  4. Step 4: Simplify right side
    977,462,549.70x = 1,433,149,554,099,037,440
  5. Step 5: Solve for x
    x = 1,433,149,554,099,037,440/977,462,549.70
  6. Step 6: Final answer
    x = 1,466,193,824.55

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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.