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Finding the Fourth Proportional to 514,803,888.95, 772,205,833.43 and 514,803,888.95

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Solution

The fourth proportional to 514,803,888.95, 772,205,833.43 and 514,803,888.95 is: 772,205,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,803,888.95 : 772,205,833.43 = 514,803,888.95 : x
  2. Step 2: Convert to fraction form
    514,803,888.95/772,205,833.43 = 514,803,888.95/x
  3. Step 3: Cross multiply
    514,803,888.95x = 772,205,833.43 × 514,803,888.95
  4. Step 4: Simplify right side
    514,803,888.95x = 397,534,566,117,065,856
  5. Step 5: Solve for x
    x = 397,534,566,117,065,856/514,803,888.95
  6. Step 6: Final answer
    x = 772,205,833.43

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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.