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Finding the Fourth Proportional to 847,165,514.70, 1,270,748,272.05 and 847,165,514.70

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Solution

The fourth proportional to 847,165,514.70, 1,270,748,272.05 and 847,165,514.70 is: 1,270,748,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,165,514.70 : 1,270,748,272.05 = 847,165,514.70 : x
  2. Step 2: Convert to fraction form
    847,165,514.70/1,270,748,272.05 = 847,165,514.70/x
  3. Step 3: Cross multiply
    847,165,514.70x = 1,270,748,272.05 × 847,165,514.70
  4. Step 4: Simplify right side
    847,165,514.70x = 1,076,534,113,945,373,952
  5. Step 5: Solve for x
    x = 1,076,534,113,945,373,952/847,165,514.70
  6. Step 6: Final answer
    x = 1,270,748,272.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.