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Finding the Fourth Proportional to 668,766,698.10, 1,001,236,859.55 and 668,766,698.10

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Solution

The fourth proportional to 668,766,698.10, 1,001,236,859.55 and 668,766,698.10 is: 1,001,236,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,766,698.10 : 1,001,236,859.55 = 668,766,698.10 : x
  2. Step 2: Convert to fraction form
    668,766,698.10/1,001,236,859.55 = 668,766,698.10/x
  3. Step 3: Cross multiply
    668,766,698.10x = 1,001,236,859.55 × 668,766,698.10
  4. Step 4: Simplify right side
    668,766,698.10x = 669,593,868,577,266,944
  5. Step 5: Solve for x
    x = 669,593,868,577,266,944/668,766,698.10
  6. Step 6: Final answer
    x = 1,001,236,859.55

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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.