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Finding the Fourth Proportional to 594,435,218.40, 891,652,827.60 and 361,640,440.80

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Solution

The fourth proportional to 594,435,218.40, 891,652,827.60 and 361,640,440.80 is: 542,460,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,435,218.40 : 891,652,827.60 = 361,640,440.80 : x
  2. Step 2: Convert to fraction form
    594,435,218.40/891,652,827.60 = 361,640,440.80/x
  3. Step 3: Cross multiply
    594,435,218.40x = 891,652,827.60 × 361,640,440.80
  4. Step 4: Simplify right side
    594,435,218.40x = 322,457,721,613,830,400
  5. Step 5: Solve for x
    x = 322,457,721,613,830,400/594,435,218.40
  6. Step 6: Final answer
    x = 542,460,661.20

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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.