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Finding the Fourth Proportional to 965,695,716.55, 1,332,692,278.32 and 542,383,974.78

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Solution

The fourth proportional to 965,695,716.55, 1,332,692,278.32 and 542,383,974.78 is: 748,507,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,695,716.55 : 1,332,692,278.32 = 542,383,974.78 : x
  2. Step 2: Convert to fraction form
    965,695,716.55/1,332,692,278.32 = 542,383,974.78/x
  3. Step 3: Cross multiply
    965,695,716.55x = 1,332,692,278.32 × 542,383,974.78
  4. Step 4: Simplify right side
    965,695,716.55x = 722,830,935,073,815,552
  5. Step 5: Solve for x
    x = 722,830,935,073,815,552/965,695,716.55
  6. Step 6: Final answer
    x = 748,507,964.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.