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Finding the Fourth Proportional to 420,901,272,002.49, 631,351,908,003.78 and 420,901,272,002.49

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Solution

The fourth proportional to 420,901,272,002.49, 631,351,908,003.78 and 420,901,272,002.49 is: 631,351,908,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,901,272,002.49 : 631,351,908,003.78 = 420,901,272,002.49 : x
  2. Step 2: Convert to fraction form
    420,901,272,002.49/631,351,908,003.78 = 420,901,272,002.49/x
  3. Step 3: Cross multiply
    420,901,272,002.49x = 631,351,908,003.78 × 420,901,272,002.49
  4. Step 4: Simplify right side
    420,901,272,002.49x = 265,736,821,159,990,053,044,224
  5. Step 5: Solve for x
    x = 265,736,821,159,990,053,044,224/420,901,272,002.49
  6. Step 6: Final answer
    x = 631,351,908,003.78

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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.