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Finding the Fourth Proportional to 667,346,947.05, 1,001,020,420.58 and 667,346,947.05

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Solution

The fourth proportional to 667,346,947.05, 1,001,020,420.58 and 667,346,947.05 is: 1,001,020,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,346,947.05 : 1,001,020,420.58 = 667,346,947.05 : x
  2. Step 2: Convert to fraction form
    667,346,947.05/1,001,020,420.58 = 667,346,947.05/x
  3. Step 3: Cross multiply
    667,346,947.05x = 1,001,020,420.58 × 667,346,947.05
  4. Step 4: Simplify right side
    667,346,947.05x = 668,027,921,605,433,216
  5. Step 5: Solve for x
    x = 668,027,921,605,433,216/667,346,947.05
  6. Step 6: Final answer
    x = 1,001,020,420.58

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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.