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Finding the Fourth Proportional to 514,848,015.70, 772,272,023.55 and 514,848,015.70

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Solution

The fourth proportional to 514,848,015.70, 772,272,023.55 and 514,848,015.70 is: 772,272,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,848,015.70 : 772,272,023.55 = 514,848,015.70 : x
  2. Step 2: Convert to fraction form
    514,848,015.70/772,272,023.55 = 514,848,015.70/x
  3. Step 3: Cross multiply
    514,848,015.70x = 772,272,023.55 × 514,848,015.70
  4. Step 4: Simplify right side
    514,848,015.70x = 397,602,718,905,341,120
  5. Step 5: Solve for x
    x = 397,602,718,905,341,120/514,848,015.70
  6. Step 6: Final answer
    x = 772,272,023.55

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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.