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Finding the Fourth Proportional to 242,227,809.60, 363,341,714.40 and 242,227,809.60

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Solution

The fourth proportional to 242,227,809.60, 363,341,714.40 and 242,227,809.60 is: 363,341,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,227,809.60 : 363,341,714.40 = 242,227,809.60 : x
  2. Step 2: Convert to fraction form
    242,227,809.60/363,341,714.40 = 242,227,809.60/x
  3. Step 3: Cross multiply
    242,227,809.60x = 363,341,714.40 × 242,227,809.60
  4. Step 4: Simplify right side
    242,227,809.60x = 88,011,467,615,420,768
  5. Step 5: Solve for x
    x = 88,011,467,615,420,768/242,227,809.60
  6. Step 6: Final answer
    x = 363,341,714.40

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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.