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Finding the Fourth Proportional to 487,156,963.65, 730,735,445.48 and 487,156,963.65

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Solution

The fourth proportional to 487,156,963.65, 730,735,445.48 and 487,156,963.65 is: 730,735,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,156,963.65 : 730,735,445.48 = 487,156,963.65 : x
  2. Step 2: Convert to fraction form
    487,156,963.65/730,735,445.48 = 487,156,963.65/x
  3. Step 3: Cross multiply
    487,156,963.65x = 730,735,445.48 × 487,156,963.65
  4. Step 4: Simplify right side
    487,156,963.65x = 355,982,860,851,466,880
  5. Step 5: Solve for x
    x = 355,982,860,851,466,880/487,156,963.65
  6. Step 6: Final answer
    x = 730,735,445.48

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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.