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Finding the Fourth Proportional to 559,872,074.80, 839,808,112.20 and 478,242,737.20

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Solution

The fourth proportional to 559,872,074.80, 839,808,112.20 and 478,242,737.20 is: 717,364,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,074.80 : 839,808,112.20 = 478,242,737.20 : x
  2. Step 2: Convert to fraction form
    559,872,074.80/839,808,112.20 = 478,242,737.20/x
  3. Step 3: Cross multiply
    559,872,074.80x = 839,808,112.20 × 478,242,737.20
  4. Step 4: Simplify right side
    559,872,074.80x = 401,632,130,301,292,736
  5. Step 5: Solve for x
    x = 401,632,130,301,292,736/559,872,074.80
  6. Step 6: Final answer
    x = 717,364,105.80

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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.