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Finding the Fourth Proportional to 559,092,584,430.30, 838,638,876,645.45 and 559,092,584,430.30

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Solution

The fourth proportional to 559,092,584,430.30, 838,638,876,645.45 and 559,092,584,430.30 is: 838,638,876,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,092,584,430.30 : 838,638,876,645.45 = 559,092,584,430.30 : x
  2. Step 2: Convert to fraction form
    559,092,584,430.30/838,638,876,645.45 = 559,092,584,430.30/x
  3. Step 3: Cross multiply
    559,092,584,430.30x = 838,638,876,645.45 × 559,092,584,430.30
  4. Step 4: Simplify right side
    559,092,584,430.30x = 468,876,776,947,428,238,557,184
  5. Step 5: Solve for x
    x = 468,876,776,947,428,238,557,184/559,092,584,430.30
  6. Step 6: Final answer
    x = 838,638,876,645.45

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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.