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Finding the Fourth Proportional to 559,093,070,400.30, 838,639,605,600.45 and 559,093,070,400.30

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Solution

The fourth proportional to 559,093,070,400.30, 838,639,605,600.45 and 559,093,070,400.30 is: 838,639,605,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,093,070,400.30 : 838,639,605,600.45 = 559,093,070,400.30 : x
  2. Step 2: Convert to fraction form
    559,093,070,400.30/838,639,605,600.45 = 559,093,070,400.30/x
  3. Step 3: Cross multiply
    559,093,070,400.30x = 838,639,605,600.45 × 559,093,070,400.30
  4. Step 4: Simplify right side
    559,093,070,400.30x = 468,877,592,054,452,247,855,104
  5. Step 5: Solve for x
    x = 468,877,592,054,452,247,855,104/559,093,070,400.30
  6. Step 6: Final answer
    x = 838,639,605,600.45

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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.