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Finding the Fourth Proportional to 298,678,055,132.70, 448,017,082,699.05 and 298,678,055,132.70

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Solution

The fourth proportional to 298,678,055,132.70, 448,017,082,699.05 and 298,678,055,132.70 is: 448,017,082,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,678,055,132.70 : 448,017,082,699.05 = 298,678,055,132.70 : x
  2. Step 2: Convert to fraction form
    298,678,055,132.70/448,017,082,699.05 = 298,678,055,132.70/x
  3. Step 3: Cross multiply
    298,678,055,132.70x = 448,017,082,699.05 × 298,678,055,132.70
  4. Step 4: Simplify right side
    298,678,055,132.70x = 133,812,870,926,778,278,871,040
  5. Step 5: Solve for x
    x = 133,812,870,926,778,278,871,040/298,678,055,132.70
  6. Step 6: Final answer
    x = 448,017,082,699.05

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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.