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Finding the Fourth Proportional to 507,398,203.92, 761,098,724.76 and 157,695,407.40

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Solution

The fourth proportional to 507,398,203.92, 761,098,724.76 and 157,695,407.40 is: 236,543,552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,398,203.92 : 761,098,724.76 = 157,695,407.40 : x
  2. Step 2: Convert to fraction form
    507,398,203.92/761,098,724.76 = 157,695,407.40/x
  3. Step 3: Cross multiply
    507,398,203.92x = 761,098,724.76 × 157,695,407.40
  4. Step 4: Simplify right side
    507,398,203.92x = 120,021,773,472,648,672
  5. Step 5: Solve for x
    x = 120,021,773,472,648,672/507,398,203.92
  6. Step 6: Final answer
    x = 236,543,552.08

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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.