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Finding the Fourth Proportional to 720,375,482.04, 994,008,229.74 and 406,995,353.16

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Solution

The fourth proportional to 720,375,482.04, 994,008,229.74 and 406,995,353.16 is: 561,591,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,375,482.04 : 994,008,229.74 = 406,995,353.16 : x
  2. Step 2: Convert to fraction form
    720,375,482.04/994,008,229.74 = 406,995,353.16/x
  3. Step 3: Cross multiply
    720,375,482.04x = 994,008,229.74 × 406,995,353.16
  4. Step 4: Simplify right side
    720,375,482.04x = 404,556,730,506,977,728
  5. Step 5: Solve for x
    x = 404,556,730,506,977,728/720,375,482.04
  6. Step 6: Final answer
    x = 561,591,476.38

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Why These Related Problems?

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