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Finding the Fourth Proportional to 439,626,679,881.80, 659,440,019,822.70 and 439,626,679,881.80

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Solution

The fourth proportional to 439,626,679,881.80, 659,440,019,822.70 and 439,626,679,881.80 is: 659,440,019,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,626,679,881.80 : 659,440,019,822.70 = 439,626,679,881.80 : x
  2. Step 2: Convert to fraction form
    439,626,679,881.80/659,440,019,822.70 = 439,626,679,881.80/x
  3. Step 3: Cross multiply
    439,626,679,881.80x = 659,440,019,822.70 × 439,626,679,881.80
  4. Step 4: Simplify right side
    439,626,679,881.80x = 289,907,426,495,841,957,838,848
  5. Step 5: Solve for x
    x = 289,907,426,495,841,957,838,848/439,626,679,881.80
  6. Step 6: Final answer
    x = 659,440,019,822.70

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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.