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Finding the Fourth Proportional to 497,666,439.60, 746,499,659.40 and 304,174,676.40

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Solution

The fourth proportional to 497,666,439.60, 746,499,659.40 and 304,174,676.40 is: 456,262,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,666,439.60 : 746,499,659.40 = 304,174,676.40 : x
  2. Step 2: Convert to fraction form
    497,666,439.60/746,499,659.40 = 304,174,676.40/x
  3. Step 3: Cross multiply
    497,666,439.60x = 746,499,659.40 × 304,174,676.40
  4. Step 4: Simplify right side
    497,666,439.60x = 227,066,292,330,705,184
  5. Step 5: Solve for x
    x = 227,066,292,330,705,184/497,666,439.60
  6. Step 6: Final answer
    x = 456,262,014.60

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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.