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Finding the Fourth Proportional to 546,970,464,065.70, 820,455,696,098.55 and 546,970,464,065.70

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Solution

The fourth proportional to 546,970,464,065.70, 820,455,696,098.55 and 546,970,464,065.70 is: 820,455,696,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,970,464,065.70 : 820,455,696,098.55 = 546,970,464,065.70 : x
  2. Step 2: Convert to fraction form
    546,970,464,065.70/820,455,696,098.55 = 546,970,464,065.70/x
  3. Step 3: Cross multiply
    546,970,464,065.70x = 820,455,696,098.55 × 546,970,464,065.70
  4. Step 4: Simplify right side
    546,970,464,065.70x = 448,765,032,840,370,839,355,392
  5. Step 5: Solve for x
    x = 448,765,032,840,370,839,355,392/546,970,464,065.70
  6. Step 6: Final answer
    x = 820,455,696,098.55

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Why These Related Problems?

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