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Finding the Fourth Proportional to 531,714,809.60, 797,680,041.60 and 301,794,041.60

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Solution

The fourth proportional to 531,714,809.60, 797,680,041.60 and 301,794,041.60 is: 452,752,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,714,809.60 : 797,680,041.60 = 301,794,041.60 : x
  2. Step 2: Convert to fraction form
    531,714,809.60/797,680,041.60 = 301,794,041.60/x
  3. Step 3: Cross multiply
    531,714,809.60x = 797,680,041.60 × 301,794,041.60
  4. Step 4: Simplify right side
    531,714,809.60x = 240,735,083,658,120,160
  5. Step 5: Solve for x
    x = 240,735,083,658,120,160/531,714,809.60
  6. Step 6: Final answer
    x = 452,752,263.64

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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.