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Finding the Fourth Proportional to 1,197,533,603.80, 1,796,300,405.70 and 679,763,978.20

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Solution

The fourth proportional to 1,197,533,603.80, 1,796,300,405.70 and 679,763,978.20 is: 1,019,645,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,533,603.80 : 1,796,300,405.70 = 679,763,978.20 : x
  2. Step 2: Convert to fraction form
    1,197,533,603.80/1,796,300,405.70 = 679,763,978.20/x
  3. Step 3: Cross multiply
    1,197,533,603.80x = 1,796,300,405.70 × 679,763,978.20
  4. Step 4: Simplify right side
    1,197,533,603.80x = 1,221,060,309,820,905,984
  5. Step 5: Solve for x
    x = 1,221,060,309,820,905,984/1,197,533,603.80
  6. Step 6: Final answer
    x = 1,019,645,967.30

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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.