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Finding the Fourth Proportional to 594,435,219.40, 891,652,829.10 and 361,640,441.80

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Solution

The fourth proportional to 594,435,219.40, 891,652,829.10 and 361,640,441.80 is: 542,460,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,435,219.40 : 891,652,829.10 = 361,640,441.80 : x
  2. Step 2: Convert to fraction form
    594,435,219.40/891,652,829.10 = 361,640,441.80/x
  3. Step 3: Cross multiply
    594,435,219.40x = 891,652,829.10 × 361,640,441.80
  4. Step 4: Simplify right side
    594,435,219.40x = 322,457,723,047,943,936
  5. Step 5: Solve for x
    x = 322,457,723,047,943,936/594,435,219.40
  6. Step 6: Final answer
    x = 542,460,662.70

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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.