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Finding the Fourth Proportional to 1,516,468,715.60, 2,274,955,015.80 and 596,375,070.80

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Solution

The fourth proportional to 1,516,468,715.60, 2,274,955,015.80 and 596,375,070.80 is: 894,661,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516,468,715.60 : 2,274,955,015.80 = 596,375,070.80 : x
  2. Step 2: Convert to fraction form
    1,516,468,715.60/2,274,955,015.80 = 596,375,070.80/x
  3. Step 3: Cross multiply
    1,516,468,715.60x = 2,274,955,015.80 × 596,375,070.80
  4. Step 4: Simplify right side
    1,516,468,715.60x = 1,356,726,458,614,540,032
  5. Step 5: Solve for x
    x = 1,356,726,458,614,540,032/1,516,468,715.60
  6. Step 6: Final answer
    x = 894,661,686.49

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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.