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Finding the Fourth Proportional to 797,161,502.90, 1,113,443,300.80 and 797,161,502.90

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Solution

The fourth proportional to 797,161,502.90, 1,113,443,300.80 and 797,161,502.90 is: 1,113,443,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,161,502.90 : 1,113,443,300.80 = 797,161,502.90 : x
  2. Step 2: Convert to fraction form
    797,161,502.90/1,113,443,300.80 = 797,161,502.90/x
  3. Step 3: Cross multiply
    797,161,502.90x = 1,113,443,300.80 × 797,161,502.90
  4. Step 4: Simplify right side
    797,161,502.90x = 887,594,135,059,664,768
  5. Step 5: Solve for x
    x = 887,594,135,059,664,768/797,161,502.90
  6. Step 6: Final answer
    x = 1,113,443,300.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.