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Finding the Fourth Proportional to 663,038,161.60, 992,644,054.80 and 586,510,657.60

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Solution

The fourth proportional to 663,038,161.60, 992,644,054.80 and 586,510,657.60 is: 878,073,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,038,161.60 : 992,644,054.80 = 586,510,657.60 : x
  2. Step 2: Convert to fraction form
    663,038,161.60/992,644,054.80 = 586,510,657.60/x
  3. Step 3: Cross multiply
    663,038,161.60x = 992,644,054.80 × 586,510,657.60
  4. Step 4: Simplify right side
    663,038,161.60x = 582,196,317,343,478,400
  5. Step 5: Solve for x
    x = 582,196,317,343,478,400/663,038,161.60
  6. Step 6: Final answer
    x = 878,073,617.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.