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Finding the Fourth Proportional to 508,728,009.80, 763,148,001.90 and 185,681,865.80

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Solution

The fourth proportional to 508,728,009.80, 763,148,001.90 and 185,681,865.80 is: 278,543,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,728,009.80 : 763,148,001.90 = 185,681,865.80 : x
  2. Step 2: Convert to fraction form
    508,728,009.80/763,148,001.90 = 185,681,865.80/x
  3. Step 3: Cross multiply
    508,728,009.80x = 763,148,001.90 × 185,681,865.80
  4. Step 4: Simplify right side
    508,728,009.80x = 141,702,744,874,333,952
  5. Step 5: Solve for x
    x = 141,702,744,874,333,952/508,728,009.80
  6. Step 6: Final answer
    x = 278,543,233.60

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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.