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Finding the Fourth Proportional to 618,098,688,005.60, 927,148,032,008.42 and 618,098,688,005.60

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Solution

The fourth proportional to 618,098,688,005.60, 927,148,032,008.42 and 618,098,688,005.60 is: 927,148,032,008.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,098,688,005.60 : 927,148,032,008.42 = 618,098,688,005.60 : x
  2. Step 2: Convert to fraction form
    618,098,688,005.60/927,148,032,008.42 = 618,098,688,005.60/x
  3. Step 3: Cross multiply
    618,098,688,005.60x = 927,148,032,008.42 × 618,098,688,005.60
  4. Step 4: Simplify right side
    618,098,688,005.60x = 573,068,982,171,378,454,102,016
  5. Step 5: Solve for x
    x = 573,068,982,171,378,454,102,016/618,098,688,005.60
  6. Step 6: Final answer
    x = 927,148,032,008.42

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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.