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Finding the Fourth Proportional to 51,648,207,233.40, 77,349,866,843.70 and 51,648,207,233.40

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Solution

The fourth proportional to 51,648,207,233.40, 77,349,866,843.70 and 51,648,207,233.40 is: 77,349,866,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,648,207,233.40 : 77,349,866,843.70 = 51,648,207,233.40 : x
  2. Step 2: Convert to fraction form
    51,648,207,233.40/77,349,866,843.70 = 51,648,207,233.40/x
  3. Step 3: Cross multiply
    51,648,207,233.40x = 77,349,866,843.70 × 51,648,207,233.40
  4. Step 4: Simplify right side
    51,648,207,233.40x = 3,994,981,952,219,313,078,272
  5. Step 5: Solve for x
    x = 3,994,981,952,219,313,078,272/51,648,207,233.40
  6. Step 6: Final answer
    x = 77,349,866,843.70

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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.