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Finding the Fourth Proportional to 944,785,087.60, 1,417,177,631.40 and 944,785,087.60

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Solution

The fourth proportional to 944,785,087.60, 1,417,177,631.40 and 944,785,087.60 is: 1,417,177,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,785,087.60 : 1,417,177,631.40 = 944,785,087.60 : x
  2. Step 2: Convert to fraction form
    944,785,087.60/1,417,177,631.40 = 944,785,087.60/x
  3. Step 3: Cross multiply
    944,785,087.60x = 1,417,177,631.40 × 944,785,087.60
  4. Step 4: Simplify right side
    944,785,087.60x = 1,338,928,292,627,009,536
  5. Step 5: Solve for x
    x = 1,338,928,292,627,009,536/944,785,087.60
  6. Step 6: Final answer
    x = 1,417,177,631.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.