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Finding the Fourth Proportional to 61,461,515,794.40, 86,278,312,228 and 61,461,515,794.40

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Solution

The fourth proportional to 61,461,515,794.40, 86,278,312,228 and 61,461,515,794.40 is: 86,278,312,228

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,461,515,794.40 : 86,278,312,228 = 61,461,515,794.40 : x
  2. Step 2: Convert to fraction form
    61,461,515,794.40/86,278,312,228 = 61,461,515,794.40/x
  3. Step 3: Cross multiply
    61,461,515,794.40x = 86,278,312,228 × 61,461,515,794.40
  4. Step 4: Simplify right side
    61,461,515,794.40x = 5,302,795,849,715,397,165,056
  5. Step 5: Solve for x
    x = 5,302,795,849,715,397,165,056/61,461,515,794.40
  6. Step 6: Final answer
    x = 86,278,312,228

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Why These Related Problems?

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