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Finding the Fourth Proportional to 159,461,947.60, 223,851,388.40 and 159,461,947.60

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Solution

The fourth proportional to 159,461,947.60, 223,851,388.40 and 159,461,947.60 is: 223,851,388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,461,947.60 : 223,851,388.40 = 159,461,947.60 : x
  2. Step 2: Convert to fraction form
    159,461,947.60/223,851,388.40 = 159,461,947.60/x
  3. Step 3: Cross multiply
    159,461,947.60x = 223,851,388.40 × 159,461,947.60
  4. Step 4: Simplify right side
    159,461,947.60x = 35,695,778,367,228,048
  5. Step 5: Solve for x
    x = 35,695,778,367,228,048/159,461,947.60
  6. Step 6: Final answer
    x = 223,851,388.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.