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Finding the Fourth Proportional to 600,607,310.40, 900,910,965.60 and 471,612,801.60

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Solution

The fourth proportional to 600,607,310.40, 900,910,965.60 and 471,612,801.60 is: 707,419,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,607,310.40 : 900,910,965.60 = 471,612,801.60 : x
  2. Step 2: Convert to fraction form
    600,607,310.40/900,910,965.60 = 471,612,801.60/x
  3. Step 3: Cross multiply
    600,607,310.40x = 900,910,965.60 × 471,612,801.60
  4. Step 4: Simplify right side
    600,607,310.40x = 424,881,144,478,777,280
  5. Step 5: Solve for x
    x = 424,881,144,478,777,280/600,607,310.40
  6. Step 6: Final answer
    x = 707,419,202.40

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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.