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Finding the Fourth Proportional to 559,876,017.60, 839,814,026.40 and 314,988,004.80

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Solution

The fourth proportional to 559,876,017.60, 839,814,026.40 and 314,988,004.80 is: 472,482,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,876,017.60 : 839,814,026.40 = 314,988,004.80 : x
  2. Step 2: Convert to fraction form
    559,876,017.60/839,814,026.40 = 314,988,004.80/x
  3. Step 3: Cross multiply
    559,876,017.60x = 839,814,026.40 × 314,988,004.80
  4. Step 4: Simplify right side
    559,876,017.60x = 264,531,344,578,790,528
  5. Step 5: Solve for x
    x = 264,531,344,578,790,528/559,876,017.60
  6. Step 6: Final answer
    x = 472,482,007.20

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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.