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Finding the Fourth Proportional to 512,262,209.80, 706,921,695.30 and 277,312,698.28

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Solution

The fourth proportional to 512,262,209.80, 706,921,695.30 and 277,312,698.28 is: 382,691,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,262,209.80 : 706,921,695.30 = 277,312,698.28 : x
  2. Step 2: Convert to fraction form
    512,262,209.80/706,921,695.30 = 277,312,698.28/x
  3. Step 3: Cross multiply
    512,262,209.80x = 706,921,695.30 × 277,312,698.28
  4. Step 4: Simplify right side
    512,262,209.80x = 196,038,362,796,314,976
  5. Step 5: Solve for x
    x = 196,038,362,796,314,976/512,262,209.80
  6. Step 6: Final answer
    x = 382,691,440.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.