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Finding the Fourth Proportional to 594,421,810.80, 891,632,716.20 and 413,023,282.80

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Solution

The fourth proportional to 594,421,810.80, 891,632,716.20 and 413,023,282.80 is: 619,534,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,421,810.80 : 891,632,716.20 = 413,023,282.80 : x
  2. Step 2: Convert to fraction form
    594,421,810.80/891,632,716.20 = 413,023,282.80/x
  3. Step 3: Cross multiply
    594,421,810.80x = 891,632,716.20 × 413,023,282.80
  4. Step 4: Simplify right side
    594,421,810.80x = 368,265,071,496,804,800
  5. Step 5: Solve for x
    x = 368,265,071,496,804,800/594,421,810.80
  6. Step 6: Final answer
    x = 619,534,924.20

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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.