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Finding the Fourth Proportional to 580,492,743.70, 814,985,666.30 and 580,492,743.70

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Solution

The fourth proportional to 580,492,743.70, 814,985,666.30 and 580,492,743.70 is: 814,985,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,492,743.70 : 814,985,666.30 = 580,492,743.70 : x
  2. Step 2: Convert to fraction form
    580,492,743.70/814,985,666.30 = 580,492,743.70/x
  3. Step 3: Cross multiply
    580,492,743.70x = 814,985,666.30 × 580,492,743.70
  4. Step 4: Simplify right side
    580,492,743.70x = 473,093,265,506,659,648
  5. Step 5: Solve for x
    x = 473,093,265,506,659,648/580,492,743.70
  6. Step 6: Final answer
    x = 814,985,666.30

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