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Finding the Fourth Proportional to 817,432,827.60, 1,226,149,241.40 and 817,432,827.60

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Solution

The fourth proportional to 817,432,827.60, 1,226,149,241.40 and 817,432,827.60 is: 1,226,149,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,432,827.60 : 1,226,149,241.40 = 817,432,827.60 : x
  2. Step 2: Convert to fraction form
    817,432,827.60/1,226,149,241.40 = 817,432,827.60/x
  3. Step 3: Cross multiply
    817,432,827.60x = 1,226,149,241.40 × 817,432,827.60
  4. Step 4: Simplify right side
    817,432,827.60x = 1,002,294,641,457,197,056
  5. Step 5: Solve for x
    x = 1,002,294,641,457,197,056/817,432,827.60
  6. Step 6: Final answer
    x = 1,226,149,241.40

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Double scale
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1.5x scale

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.