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Finding the Fourth Proportional to 287,700,807.80, 431,551,211.70 and 165,256,801.40

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Solution

The fourth proportional to 287,700,807.80, 431,551,211.70 and 165,256,801.40 is: 247,885,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,700,807.80 : 431,551,211.70 = 165,256,801.40 : x
  2. Step 2: Convert to fraction form
    287,700,807.80/431,551,211.70 = 165,256,801.40/x
  3. Step 3: Cross multiply
    287,700,807.80x = 431,551,211.70 × 165,256,801.40
  4. Step 4: Simplify right side
    287,700,807.80x = 71,316,772,885,836,256
  5. Step 5: Solve for x
    x = 71,316,772,885,836,256/287,700,807.80
  6. Step 6: Final answer
    x = 247,885,202.10

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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.