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Finding the Fourth Proportional to 96,881,587,870.40, 145,322,381,805.60 and 96,881,587,870.40

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Solution

The fourth proportional to 96,881,587,870.40, 145,322,381,805.60 and 96,881,587,870.40 is: 145,322,381,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,881,587,870.40 : 145,322,381,805.60 = 96,881,587,870.40 : x
  2. Step 2: Convert to fraction form
    96,881,587,870.40/145,322,381,805.60 = 96,881,587,870.40/x
  3. Step 3: Cross multiply
    96,881,587,870.40x = 145,322,381,805.60 × 96,881,587,870.40
  4. Step 4: Simplify right side
    96,881,587,870.40x = 14,079,063,102,435,054,583,808
  5. Step 5: Solve for x
    x = 14,079,063,102,435,054,583,808/96,881,587,870.40
  6. Step 6: Final answer
    x = 145,322,381,805.60

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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.