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Finding the Fourth Proportional to 873,256,593.60, 1,309,884,890.40 and 801,830,923.20

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Solution

The fourth proportional to 873,256,593.60, 1,309,884,890.40 and 801,830,923.20 is: 1,202,746,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,256,593.60 : 1,309,884,890.40 = 801,830,923.20 : x
  2. Step 2: Convert to fraction form
    873,256,593.60/1,309,884,890.40 = 801,830,923.20/x
  3. Step 3: Cross multiply
    873,256,593.60x = 1,309,884,890.40 × 801,830,923.20
  4. Step 4: Simplify right side
    873,256,593.60x = 1,050,306,210,955,163,008
  5. Step 5: Solve for x
    x = 1,050,306,210,955,163,008/873,256,593.60
  6. Step 6: Final answer
    x = 1,202,746,384.80

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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.