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Finding the Fourth Proportional to 514,888,977.55, 772,333,466.33 and 514,888,977.55

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Solution

The fourth proportional to 514,888,977.55, 772,333,466.33 and 514,888,977.55 is: 772,333,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,888,977.55 : 772,333,466.33 = 514,888,977.55 : x
  2. Step 2: Convert to fraction form
    514,888,977.55/772,333,466.33 = 514,888,977.55/x
  3. Step 3: Cross multiply
    514,888,977.55x = 772,333,466.33 × 514,888,977.55
  4. Step 4: Simplify right side
    514,888,977.55x = 397,665,988,806,301,056
  5. Step 5: Solve for x
    x = 397,665,988,806,301,056/514,888,977.55
  6. Step 6: Final answer
    x = 772,333,466.33

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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.