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Finding the Fourth Proportional to 559,872,751.40, 839,809,127.10 and 519,058,082.60

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Solution

The fourth proportional to 559,872,751.40, 839,809,127.10 and 519,058,082.60 is: 778,587,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,751.40 : 839,809,127.10 = 519,058,082.60 : x
  2. Step 2: Convert to fraction form
    559,872,751.40/839,809,127.10 = 519,058,082.60/x
  3. Step 3: Cross multiply
    559,872,751.40x = 839,809,127.10 × 519,058,082.60
  4. Step 4: Simplify right side
    559,872,751.40x = 435,909,715,262,505,728
  5. Step 5: Solve for x
    x = 435,909,715,262,505,728/559,872,751.40
  6. Step 6: Final answer
    x = 778,587,123.90

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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.