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Finding the Fourth Proportional to 548,050,564.95, 822,075,847.43 and 548,050,564.95

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Solution

The fourth proportional to 548,050,564.95, 822,075,847.43 and 548,050,564.95 is: 822,075,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,050,564.95 : 822,075,847.43 = 548,050,564.95 : x
  2. Step 2: Convert to fraction form
    548,050,564.95/822,075,847.43 = 548,050,564.95/x
  3. Step 3: Cross multiply
    548,050,564.95x = 822,075,847.43 × 548,050,564.95
  4. Step 4: Simplify right side
    548,050,564.95x = 450,539,132,613,021,248
  5. Step 5: Solve for x
    x = 450,539,132,613,021,248/548,050,564.95
  6. Step 6: Final answer
    x = 822,075,847.43

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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.