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Finding the Fourth Proportional to 49,779,675,997.20, 74,669,513,995.80 and 49,779,675,997.20

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Solution

The fourth proportional to 49,779,675,997.20, 74,669,513,995.80 and 49,779,675,997.20 is: 74,669,513,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,779,675,997.20 : 74,669,513,995.80 = 49,779,675,997.20 : x
  2. Step 2: Convert to fraction form
    49,779,675,997.20/74,669,513,995.80 = 49,779,675,997.20/x
  3. Step 3: Cross multiply
    49,779,675,997.20x = 74,669,513,995.80 × 49,779,675,997.20
  4. Step 4: Simplify right side
    49,779,675,997.20x = 3,717,024,213,579,314,757,632
  5. Step 5: Solve for x
    x = 3,717,024,213,579,314,757,632/49,779,675,997.20
  6. Step 6: Final answer
    x = 74,669,513,995.80

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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.