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Finding the Fourth Proportional to 138,706,101,386.40, 208,059,152,079.60 and 138,706,101,386.40

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Solution

The fourth proportional to 138,706,101,386.40, 208,059,152,079.60 and 138,706,101,386.40 is: 208,059,152,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,706,101,386.40 : 208,059,152,079.60 = 138,706,101,386.40 : x
  2. Step 2: Convert to fraction form
    138,706,101,386.40/208,059,152,079.60 = 138,706,101,386.40/x
  3. Step 3: Cross multiply
    138,706,101,386.40x = 208,059,152,079.60 × 138,706,101,386.40
  4. Step 4: Simplify right side
    138,706,101,386.40x = 28,859,073,842,721,415,233,536
  5. Step 5: Solve for x
    x = 28,859,073,842,721,415,233,536/138,706,101,386.40
  6. Step 6: Final answer
    x = 208,059,152,079.60

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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.