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Finding the Fourth Proportional to 298,944,005.60, 448,416,008.40 and 175,996,114.40

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Solution

The fourth proportional to 298,944,005.60, 448,416,008.40 and 175,996,114.40 is: 263,994,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,944,005.60 : 448,416,008.40 = 175,996,114.40 : x
  2. Step 2: Convert to fraction form
    298,944,005.60/448,416,008.40 = 175,996,114.40/x
  3. Step 3: Cross multiply
    298,944,005.60x = 448,416,008.40 × 175,996,114.40
  4. Step 4: Simplify right side
    298,944,005.60x = 78,919,475,113,157,760
  5. Step 5: Solve for x
    x = 78,919,475,113,157,760/298,944,005.60
  6. Step 6: Final answer
    x = 263,994,171.60

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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.