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Finding the Fourth Proportional to 613,531,009.80, 846,693,684.84 and 362,850,290.16

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Solution

The fourth proportional to 613,531,009.80, 846,693,684.84 and 362,850,290.16 is: 500,745,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,531,009.80 : 846,693,684.84 = 362,850,290.16 : x
  2. Step 2: Convert to fraction form
    613,531,009.80/846,693,684.84 = 362,850,290.16/x
  3. Step 3: Cross multiply
    613,531,009.80x = 846,693,684.84 × 362,850,290.16
  4. Step 4: Simplify right side
    613,531,009.80x = 307,223,049,220,833,600
  5. Step 5: Solve for x
    x = 307,223,049,220,833,600/613,531,009.80
  6. Step 6: Final answer
    x = 500,745,755.82

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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.