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Finding the Fourth Proportional to 2,578,364,580.40, 3,867,546,870.60 and 2,578,364,580.40

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Solution

The fourth proportional to 2,578,364,580.40, 3,867,546,870.60 and 2,578,364,580.40 is: 3,867,546,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,364,580.40 : 3,867,546,870.60 = 2,578,364,580.40 : x
  2. Step 2: Convert to fraction form
    2,578,364,580.40/3,867,546,870.60 = 2,578,364,580.40/x
  3. Step 3: Cross multiply
    2,578,364,580.40x = 3,867,546,870.60 × 2,578,364,580.40
  4. Step 4: Simplify right side
    2,578,364,580.40x = 9,971,945,864,191,901,696
  5. Step 5: Solve for x
    x = 9,971,945,864,191,901,696/2,578,364,580.40
  6. Step 6: Final answer
    x = 3,867,546,870.60

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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.