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Finding the Fourth Proportional to 520,087,013.10, 780,130,519.65 and 520,087,013.10

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Solution

The fourth proportional to 520,087,013.10, 780,130,519.65 and 520,087,013.10 is: 780,130,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,087,013.10 : 780,130,519.65 = 520,087,013.10 : x
  2. Step 2: Convert to fraction form
    520,087,013.10/780,130,519.65 = 520,087,013.10/x
  3. Step 3: Cross multiply
    520,087,013.10x = 780,130,519.65 × 520,087,013.10
  4. Step 4: Simplify right side
    520,087,013.10x = 405,735,751,792,919,360
  5. Step 5: Solve for x
    x = 405,735,751,792,919,360/520,087,013.10
  6. Step 6: Final answer
    x = 780,130,519.65

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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.