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Finding the Fourth Proportional to 594,421,807.80, 891,632,711.70 and 413,023,279.80

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Solution

The fourth proportional to 594,421,807.80, 891,632,711.70 and 413,023,279.80 is: 619,534,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,421,807.80 : 891,632,711.70 = 413,023,279.80 : x
  2. Step 2: Convert to fraction form
    594,421,807.80/891,632,711.70 = 413,023,279.80/x
  3. Step 3: Cross multiply
    594,421,807.80x = 891,632,711.70 × 413,023,279.80
  4. Step 4: Simplify right side
    594,421,807.80x = 368,265,066,963,301,888
  5. Step 5: Solve for x
    x = 368,265,066,963,301,888/594,421,807.80
  6. Step 6: Final answer
    x = 619,534,919.70

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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.