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Finding the Fourth Proportional to 1,097,995,633.80, 1,646,993,450.70 and 370,973,848.20

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Solution

The fourth proportional to 1,097,995,633.80, 1,646,993,450.70 and 370,973,848.20 is: 556,460,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,995,633.80 : 1,646,993,450.70 = 370,973,848.20 : x
  2. Step 2: Convert to fraction form
    1,097,995,633.80/1,646,993,450.70 = 370,973,848.20/x
  3. Step 3: Cross multiply
    1,097,995,633.80x = 1,646,993,450.70 × 370,973,848.20
  4. Step 4: Simplify right side
    1,097,995,633.80x = 610,991,498,366,375,936
  5. Step 5: Solve for x
    x = 610,991,498,366,375,936/1,097,995,633.80
  6. Step 6: Final answer
    x = 556,460,772.30

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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.