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Finding the Fourth Proportional to 45,493,488,034.65, 68,117,788,045.58 and 45,493,488,034.65

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Solution

The fourth proportional to 45,493,488,034.65, 68,117,788,045.58 and 45,493,488,034.65 is: 68,117,788,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,493,488,034.65 : 68,117,788,045.58 = 45,493,488,034.65 : x
  2. Step 2: Convert to fraction form
    45,493,488,034.65/68,117,788,045.58 = 45,493,488,034.65/x
  3. Step 3: Cross multiply
    45,493,488,034.65x = 68,117,788,045.58 × 45,493,488,034.65
  4. Step 4: Simplify right side
    45,493,488,034.65x = 3,098,915,775,398,191,038,464
  5. Step 5: Solve for x
    x = 3,098,915,775,398,191,038,464/45,493,488,034.65
  6. Step 6: Final answer
    x = 68,117,788,045.58

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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.