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Finding the Fourth Proportional to 548,050,319.70, 822,075,479.55 and 548,050,319.70

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Solution

The fourth proportional to 548,050,319.70, 822,075,479.55 and 548,050,319.70 is: 822,075,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,050,319.70 : 822,075,479.55 = 548,050,319.70 : x
  2. Step 2: Convert to fraction form
    548,050,319.70/822,075,479.55 = 548,050,319.70/x
  3. Step 3: Cross multiply
    548,050,319.70x = 822,075,479.55 × 548,050,319.70
  4. Step 4: Simplify right side
    548,050,319.70x = 450,538,729,384,908,352
  5. Step 5: Solve for x
    x = 450,538,729,384,908,352/548,050,319.70
  6. Step 6: Final answer
    x = 822,075,479.55

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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.