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Finding the Fourth Proportional to 559,876,019.10, 839,814,028.65 and 314,988,006.30

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Solution

The fourth proportional to 559,876,019.10, 839,814,028.65 and 314,988,006.30 is: 472,482,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,876,019.10 : 839,814,028.65 = 314,988,006.30 : x
  2. Step 2: Convert to fraction form
    559,876,019.10/839,814,028.65 = 314,988,006.30/x
  3. Step 3: Cross multiply
    559,876,019.10x = 839,814,028.65 × 314,988,006.30
  4. Step 4: Simplify right side
    559,876,019.10x = 264,531,346,547,234,592
  5. Step 5: Solve for x
    x = 264,531,346,547,234,592/559,876,019.10
  6. Step 6: Final answer
    x = 472,482,009.45

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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.