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Finding the Fourth Proportional to 212,897,645.80, 319,346,468.70 and 116,151,764.20

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Solution

The fourth proportional to 212,897,645.80, 319,346,468.70 and 116,151,764.20 is: 174,227,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,897,645.80 : 319,346,468.70 = 116,151,764.20 : x
  2. Step 2: Convert to fraction form
    212,897,645.80/319,346,468.70 = 116,151,764.20/x
  3. Step 3: Cross multiply
    212,897,645.80x = 319,346,468.70 × 116,151,764.20
  4. Step 4: Simplify right side
    212,897,645.80x = 37,092,655,730,545,080
  5. Step 5: Solve for x
    x = 37,092,655,730,545,080/212,897,645.80
  6. Step 6: Final answer
    x = 174,227,646.30

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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.