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Finding the Fourth Proportional to 42,016,158,998.70, 63,024,238,498.05 and 42,016,158,998.70

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Solution

The fourth proportional to 42,016,158,998.70, 63,024,238,498.05 and 42,016,158,998.70 is: 63,024,238,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,016,158,998.70 : 63,024,238,498.05 = 42,016,158,998.70 : x
  2. Step 2: Convert to fraction form
    42,016,158,998.70/63,024,238,498.05 = 42,016,158,998.70/x
  3. Step 3: Cross multiply
    42,016,158,998.70x = 63,024,238,498.05 × 42,016,158,998.70
  4. Step 4: Simplify right side
    42,016,158,998.70x = 2,648,036,425,506,058,403,840
  5. Step 5: Solve for x
    x = 2,648,036,425,506,058,403,840/42,016,158,998.70
  6. Step 6: Final answer
    x = 63,024,238,498.05

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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.