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Finding the Fourth Proportional to 48,708,867,981.60, 73,063,301,972.40 and 48,708,867,981.60

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Solution

The fourth proportional to 48,708,867,981.60, 73,063,301,972.40 and 48,708,867,981.60 is: 73,063,301,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,708,867,981.60 : 73,063,301,972.40 = 48,708,867,981.60 : x
  2. Step 2: Convert to fraction form
    48,708,867,981.60/73,063,301,972.40 = 48,708,867,981.60/x
  3. Step 3: Cross multiply
    48,708,867,981.60x = 73,063,301,972.40 × 48,708,867,981.60
  4. Step 4: Simplify right side
    48,708,867,981.60x = 3,558,830,730,073,405,915,136
  5. Step 5: Solve for x
    x = 3,558,830,730,073,405,915,136/48,708,867,981.60
  6. Step 6: Final answer
    x = 73,063,301,972.40

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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.