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Finding the Fourth Proportional to 440,033,154,265.35, 660,049,731,398.02 and 440,033,154,265.35

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Solution

The fourth proportional to 440,033,154,265.35, 660,049,731,398.02 and 440,033,154,265.35 is: 660,049,731,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,033,154,265.35 : 660,049,731,398.02 = 440,033,154,265.35 : x
  2. Step 2: Convert to fraction form
    440,033,154,265.35/660,049,731,398.02 = 440,033,154,265.35/x
  3. Step 3: Cross multiply
    440,033,154,265.35x = 660,049,731,398.02 × 440,033,154,265.35
  4. Step 4: Simplify right side
    440,033,154,265.35x = 290,443,765,279,067,773,861,888
  5. Step 5: Solve for x
    x = 290,443,765,279,067,773,861,888/440,033,154,265.35
  6. Step 6: Final answer
    x = 660,049,731,398.02

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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.