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Finding the Fourth Proportional to 1,582,914,024,006.50, 2,374,371,036,009.90 and 1,582,914,024,006.50

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Solution

The fourth proportional to 1,582,914,024,006.50, 2,374,371,036,009.90 and 1,582,914,024,006.50 is: 2,374,371,036,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,914,024,006.50 : 2,374,371,036,009.90 = 1,582,914,024,006.50 : x
  2. Step 2: Convert to fraction form
    1,582,914,024,006.50/2,374,371,036,009.90 = 1,582,914,024,006.50/x
  3. Step 3: Cross multiply
    1,582,914,024,006.50x = 2,374,371,036,009.90 × 1,582,914,024,006.50
  4. Step 4: Simplify right side
    1,582,914,024,006.50x = 3,758,425,211,094,912,781,516,800
  5. Step 5: Solve for x
    x = 3,758,425,211,094,912,781,516,800/1,582,914,024,006.50
  6. Step 6: Final answer
    x = 2,374,371,036,009.90

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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.