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Finding the Fourth Proportional to 705,024,009.90, 1,057,536,014.85 and 705,024,009.90

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Solution

The fourth proportional to 705,024,009.90, 1,057,536,014.85 and 705,024,009.90 is: 1,057,536,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,024,009.90 : 1,057,536,014.85 = 705,024,009.90 : x
  2. Step 2: Convert to fraction form
    705,024,009.90/1,057,536,014.85 = 705,024,009.90/x
  3. Step 3: Cross multiply
    705,024,009.90x = 1,057,536,014.85 × 705,024,009.90
  4. Step 4: Simplify right side
    705,024,009.90x = 745,588,281,803,212,928
  5. Step 5: Solve for x
    x = 745,588,281,803,212,928/705,024,009.90
  6. Step 6: Final answer
    x = 1,057,536,014.85

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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.