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Finding the Fourth Proportional to 660,049,731,421.65, 990,074,597,132.48 and 660,049,731,421.65

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Solution

The fourth proportional to 660,049,731,421.65, 990,074,597,132.48 and 660,049,731,421.65 is: 990,074,597,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,049,731,421.65 : 990,074,597,132.48 = 660,049,731,421.65 : x
  2. Step 2: Convert to fraction form
    660,049,731,421.65/990,074,597,132.48 = 660,049,731,421.65/x
  3. Step 3: Cross multiply
    660,049,731,421.65x = 990,074,597,132.48 × 660,049,731,421.65
  4. Step 4: Simplify right side
    660,049,731,421.65x = 653,498,471,924,691,697,139,712
  5. Step 5: Solve for x
    x = 653,498,471,924,691,697,139,712/660,049,731,421.65
  6. Step 6: Final answer
    x = 990,074,597,132.48

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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.