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Finding the Fourth Proportional to 804,827,165.60, 1,207,240,748.40 and 804,827,165.60

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Solution

The fourth proportional to 804,827,165.60, 1,207,240,748.40 and 804,827,165.60 is: 1,207,240,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,827,165.60 : 1,207,240,748.40 = 804,827,165.60 : x
  2. Step 2: Convert to fraction form
    804,827,165.60/1,207,240,748.40 = 804,827,165.60/x
  3. Step 3: Cross multiply
    804,827,165.60x = 1,207,240,748.40 × 804,827,165.60
  4. Step 4: Simplify right side
    804,827,165.60x = 971,620,149,731,594,880
  5. Step 5: Solve for x
    x = 971,620,149,731,594,880/804,827,165.60
  6. Step 6: Final answer
    x = 1,207,240,748.40

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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.