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Finding the Fourth Proportional to 550,596,659.40, 825,894,989.10 and 317,825,501.40

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Solution

The fourth proportional to 550,596,659.40, 825,894,989.10 and 317,825,501.40 is: 476,738,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,596,659.40 : 825,894,989.10 = 317,825,501.40 : x
  2. Step 2: Convert to fraction form
    550,596,659.40/825,894,989.10 = 317,825,501.40/x
  3. Step 3: Cross multiply
    550,596,659.40x = 825,894,989.10 × 317,825,501.40
  4. Step 4: Simplify right side
    550,596,659.40x = 262,490,489,014,455,008
  5. Step 5: Solve for x
    x = 262,490,489,014,455,008/550,596,659.40
  6. Step 6: Final answer
    x = 476,738,252.10

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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.