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Finding the Fourth Proportional to 869,793,775.65, 1,200,315,606.14 and 478,653,199.65

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Solution

The fourth proportional to 869,793,775.65, 1,200,315,606.14 and 478,653,199.65 is: 660,541,523.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,793,775.65 : 1,200,315,606.14 = 478,653,199.65 : x
  2. Step 2: Convert to fraction form
    869,793,775.65/1,200,315,606.14 = 478,653,199.65/x
  3. Step 3: Cross multiply
    869,793,775.65x = 1,200,315,606.14 × 478,653,199.65
  4. Step 4: Simplify right side
    869,793,775.65x = 574,534,905,466,346,880
  5. Step 5: Solve for x
    x = 574,534,905,466,346,880/869,793,775.65
  6. Step 6: Final answer
    x = 660,541,523.23

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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.