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Finding the Fourth Proportional to 546,970,464,058.45, 820,455,696,087.70 and 546,970,464,058.45

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Solution

The fourth proportional to 546,970,464,058.45, 820,455,696,087.70 and 546,970,464,058.45 is: 820,455,696,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,970,464,058.45 : 820,455,696,087.70 = 546,970,464,058.45 : x
  2. Step 2: Convert to fraction form
    546,970,464,058.45/820,455,696,087.70 = 546,970,464,058.45/x
  3. Step 3: Cross multiply
    546,970,464,058.45x = 820,455,696,087.70 × 546,970,464,058.45
  4. Step 4: Simplify right side
    546,970,464,058.45x = 448,765,032,828,487,872,806,912
  5. Step 5: Solve for x
    x = 448,765,032,828,487,872,806,912/546,970,464,058.45
  6. Step 6: Final answer
    x = 820,455,696,087.70

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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.