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Finding the Fourth Proportional to 82,938,011,108.20, 124,407,016,662.30 and 82,938,011,108.20

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Solution

The fourth proportional to 82,938,011,108.20, 124,407,016,662.30 and 82,938,011,108.20 is: 124,407,016,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,938,011,108.20 : 124,407,016,662.30 = 82,938,011,108.20 : x
  2. Step 2: Convert to fraction form
    82,938,011,108.20/124,407,016,662.30 = 82,938,011,108.20/x
  3. Step 3: Cross multiply
    82,938,011,108.20x = 124,407,016,662.30 × 82,938,011,108.20
  4. Step 4: Simplify right side
    82,938,011,108.20x = 10,318,070,529,875,859,472,384
  5. Step 5: Solve for x
    x = 10,318,070,529,875,859,472,384/82,938,011,108.20
  6. Step 6: Final answer
    x = 124,407,016,662.30

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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.