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Finding the Fourth Proportional to 125,210,974,713.90, 187,816,462,070.85 and 125,210,974,713.90

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Solution

The fourth proportional to 125,210,974,713.90, 187,816,462,070.85 and 125,210,974,713.90 is: 187,816,462,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,210,974,713.90 : 187,816,462,070.85 = 125,210,974,713.90 : x
  2. Step 2: Convert to fraction form
    125,210,974,713.90/187,816,462,070.85 = 125,210,974,713.90/x
  3. Step 3: Cross multiply
    125,210,974,713.90x = 187,816,462,070.85 × 125,210,974,713.90
  4. Step 4: Simplify right side
    125,210,974,713.90x = 23,516,682,283,207,358,414,848
  5. Step 5: Solve for x
    x = 23,516,682,283,207,358,414,848/125,210,974,713.90
  6. Step 6: Final answer
    x = 187,816,462,070.85

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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.