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Finding the Fourth Proportional to 869,822,641.24, 1,200,355,440.70 and 478,682,065.24

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Solution

The fourth proportional to 869,822,641.24, 1,200,355,440.70 and 478,682,065.24 is: 660,581,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,822,641.24 : 1,200,355,440.70 = 478,682,065.24 : x
  2. Step 2: Convert to fraction form
    869,822,641.24/1,200,355,440.70 = 478,682,065.24/x
  3. Step 3: Cross multiply
    869,822,641.24x = 1,200,355,440.70 × 478,682,065.24
  4. Step 4: Simplify right side
    869,822,641.24x = 574,588,621,376,346,368
  5. Step 5: Solve for x
    x = 574,588,621,376,346,368/869,822,641.24
  6. Step 6: Final answer
    x = 660,581,357.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.