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Finding the Fourth Proportional to 440,154,245,416.80, 660,231,368,125.20 and 440,154,245,416.80

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Solution

The fourth proportional to 440,154,245,416.80, 660,231,368,125.20 and 440,154,245,416.80 is: 660,231,368,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,154,245,416.80 : 660,231,368,125.20 = 440,154,245,416.80 : x
  2. Step 2: Convert to fraction form
    440,154,245,416.80/660,231,368,125.20 = 440,154,245,416.80/x
  3. Step 3: Cross multiply
    440,154,245,416.80x = 660,231,368,125.20 × 440,154,245,416.80
  4. Step 4: Simplify right side
    440,154,245,416.80x = 290,603,639,637,648,875,716,608
  5. Step 5: Solve for x
    x = 290,603,639,637,648,875,716,608/440,154,245,416.80
  6. Step 6: Final answer
    x = 660,231,368,125.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.