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Finding the Fourth Proportional to 287,658,911.80, 431,544,354.90 and 83,193,657.40

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Solution

The fourth proportional to 287,658,911.80, 431,544,354.90 and 83,193,657.40 is: 124,806,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,658,911.80 : 431,544,354.90 = 83,193,657.40 : x
  2. Step 2: Convert to fraction form
    287,658,911.80/431,544,354.90 = 83,193,657.40/x
  3. Step 3: Cross multiply
    287,658,911.80x = 431,544,354.90 × 83,193,657.40
  4. Step 4: Simplify right side
    287,658,911.80x = 35,901,753,214,454,612
  5. Step 5: Solve for x
    x = 35,901,753,214,454,612/287,658,911.80
  6. Step 6: Final answer
    x = 124,806,678.12

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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.