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Finding the Fourth Proportional to 71,291,534,727.60, 106,937,302,091.40 and 71,291,534,727.60

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Solution

The fourth proportional to 71,291,534,727.60, 106,937,302,091.40 and 71,291,534,727.60 is: 106,937,302,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,291,534,727.60 : 106,937,302,091.40 = 71,291,534,727.60 : x
  2. Step 2: Convert to fraction form
    71,291,534,727.60/106,937,302,091.40 = 71,291,534,727.60/x
  3. Step 3: Cross multiply
    71,291,534,727.60x = 106,937,302,091.40 × 71,291,534,727.60
  4. Step 4: Simplify right side
    71,291,534,727.60x = 7,623,724,385,724,895,592,448
  5. Step 5: Solve for x
    x = 7,623,724,385,724,895,592,448/71,291,534,727.60
  6. Step 6: Final answer
    x = 106,937,302,091.40

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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.