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Finding the Fourth Proportional to 42,016,158,999.70, 63,024,238,499.55 and 42,016,158,999.70

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Solution

The fourth proportional to 42,016,158,999.70, 63,024,238,499.55 and 42,016,158,999.70 is: 63,024,238,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,016,158,999.70 : 63,024,238,499.55 = 42,016,158,999.70 : x
  2. Step 2: Convert to fraction form
    42,016,158,999.70/63,024,238,499.55 = 42,016,158,999.70/x
  3. Step 3: Cross multiply
    42,016,158,999.70x = 63,024,238,499.55 × 42,016,158,999.70
  4. Step 4: Simplify right side
    42,016,158,999.70x = 2,648,036,425,632,106,676,224
  5. Step 5: Solve for x
    x = 2,648,036,425,632,106,676,224/42,016,158,999.70
  6. Step 6: Final answer
    x = 63,024,238,499.55

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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.