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Finding the Fourth Proportional to 43,677,792,002.05, 65,516,688,003.08 and 43,677,792,002.05

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Solution

The fourth proportional to 43,677,792,002.05, 65,516,688,003.08 and 43,677,792,002.05 is: 65,516,688,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,677,792,002.05 : 65,516,688,003.08 = 43,677,792,002.05 : x
  2. Step 2: Convert to fraction form
    43,677,792,002.05/65,516,688,003.08 = 43,677,792,002.05/x
  3. Step 3: Cross multiply
    43,677,792,002.05x = 65,516,688,003.08 × 43,677,792,002.05
  4. Step 4: Simplify right side
    43,677,792,002.05x = 2,861,624,271,261,732,962,304
  5. Step 5: Solve for x
    x = 2,861,624,271,261,732,962,304/43,677,792,002.05
  6. Step 6: Final answer
    x = 65,516,688,003.08

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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.