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Finding the Fourth Proportional to 513,411,228.85, 770,116,843.28 and 513,411,228.85

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Solution

The fourth proportional to 513,411,228.85, 770,116,843.28 and 513,411,228.85 is: 770,116,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,411,228.85 : 770,116,843.28 = 513,411,228.85 : x
  2. Step 2: Convert to fraction form
    513,411,228.85/770,116,843.28 = 513,411,228.85/x
  3. Step 3: Cross multiply
    513,411,228.85x = 770,116,843.28 × 513,411,228.85
  4. Step 4: Simplify right side
    513,411,228.85x = 395,386,634,863,900,608
  5. Step 5: Solve for x
    x = 395,386,634,863,900,608/513,411,228.85
  6. Step 6: Final answer
    x = 770,116,843.28

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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.