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Finding the Fourth Proportional to 207,222,634,267.80, 310,833,951,401.70 and 207,222,634,267.80

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Solution

The fourth proportional to 207,222,634,267.80, 310,833,951,401.70 and 207,222,634,267.80 is: 310,833,951,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,222,634,267.80 : 310,833,951,401.70 = 207,222,634,267.80 : x
  2. Step 2: Convert to fraction form
    207,222,634,267.80/310,833,951,401.70 = 207,222,634,267.80/x
  3. Step 3: Cross multiply
    207,222,634,267.80x = 310,833,951,401.70 × 207,222,634,267.80
  4. Step 4: Simplify right side
    207,222,634,267.80x = 64,411,830,229,329,600,577,536
  5. Step 5: Solve for x
    x = 64,411,830,229,329,600,577,536/207,222,634,267.80
  6. Step 6: Final answer
    x = 310,833,951,401.70

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1.5x scale

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.