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Finding the Fourth Proportional to 3,917,251,610,998.70, 5,875,877,416,498.20 and 3,917,251,610,998.70

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Solution

The fourth proportional to 3,917,251,610,998.70, 5,875,877,416,498.20 and 3,917,251,610,998.70 is: 5,875,877,416,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917,251,610,998.70 : 5,875,877,416,498.20 = 3,917,251,610,998.70 : x
  2. Step 2: Convert to fraction form
    3,917,251,610,998.70/5,875,877,416,498.20 = 3,917,251,610,998.70/x
  3. Step 3: Cross multiply
    3,917,251,610,998.70x = 5,875,877,416,498.20 × 3,917,251,610,998.70
  4. Step 4: Simplify right side
    3,917,251,610,998.70x = 23,017,290,275,808,455,113,572,352
  5. Step 5: Solve for x
    x = 23,017,290,275,808,455,113,572,352/3,917,251,610,998.70
  6. Step 6: Final answer
    x = 5,875,877,416,498.20

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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.