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Finding the Fourth Proportional to 869,822,630.74, 1,200,355,425.84 and 478,682,054.74

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Solution

The fourth proportional to 869,822,630.74, 1,200,355,425.84 and 478,682,054.74 is: 660,581,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,822,630.74 : 1,200,355,425.84 = 478,682,054.74 : x
  2. Step 2: Convert to fraction form
    869,822,630.74/1,200,355,425.84 = 478,682,054.74/x
  3. Step 3: Cross multiply
    869,822,630.74x = 1,200,355,425.84 × 478,682,054.74
  4. Step 4: Simplify right side
    869,822,630.74x = 574,588,601,662,718,336
  5. Step 5: Solve for x
    x = 574,588,601,662,718,336/869,822,630.74
  6. Step 6: Final answer
    x = 660,581,343.09

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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.