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Finding the Fourth Proportional to 86,219,609,812.40, 129,329,414,718.60 and 86,219,609,812.40

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Solution

The fourth proportional to 86,219,609,812.40, 129,329,414,718.60 and 86,219,609,812.40 is: 129,329,414,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,219,609,812.40 : 129,329,414,718.60 = 86,219,609,812.40 : x
  2. Step 2: Convert to fraction form
    86,219,609,812.40/129,329,414,718.60 = 86,219,609,812.40/x
  3. Step 3: Cross multiply
    86,219,609,812.40x = 129,329,414,718.60 × 86,219,609,812.40
  4. Step 4: Simplify right side
    86,219,609,812.40x = 11,150,731,674,303,753,879,552
  5. Step 5: Solve for x
    x = 11,150,731,674,303,753,879,552/86,219,609,812.40
  6. Step 6: Final answer
    x = 129,329,414,718.60

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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.