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Finding the Fourth Proportional to 869,807,496.87, 1,200,334,523.40 and 478,666,920.87

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Solution

The fourth proportional to 869,807,496.87, 1,200,334,523.40 and 478,666,920.87 is: 660,560,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,807,496.87 : 1,200,334,523.40 = 478,666,920.87 : x
  2. Step 2: Convert to fraction form
    869,807,496.87/1,200,334,523.40 = 478,666,920.87/x
  3. Step 3: Cross multiply
    869,807,496.87x = 1,200,334,523.40 × 478,666,920.87
  4. Step 4: Simplify right side
    869,807,496.87x = 574,560,430,329,836,992
  5. Step 5: Solve for x
    x = 574,560,430,329,836,992/869,807,496.87
  6. Step 6: Final answer
    x = 660,560,448.60

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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.