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Finding the Fourth Proportional to 242,584,159.60, 363,628,233.60 and 119,573,282.80

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Solution

The fourth proportional to 242,584,159.60, 363,628,233.60 and 119,573,282.80 is: 179,237,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,584,159.60 : 363,628,233.60 = 119,573,282.80 : x
  2. Step 2: Convert to fraction form
    242,584,159.60/363,628,233.60 = 119,573,282.80/x
  3. Step 3: Cross multiply
    242,584,159.60x = 363,628,233.60 × 119,573,282.80
  4. Step 4: Simplify right side
    242,584,159.60x = 43,480,221,610,317,264
  5. Step 5: Solve for x
    x = 43,480,221,610,317,264/242,584,159.60
  6. Step 6: Final answer
    x = 179,237,678.51

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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.