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Finding the Fourth Proportional to 604,662,306.90, 834,461,329.95 and 340,435,090.50

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Solution

The fourth proportional to 604,662,306.90, 834,461,329.95 and 340,435,090.50 is: 469,815,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,662,306.90 : 834,461,329.95 = 340,435,090.50 : x
  2. Step 2: Convert to fraction form
    604,662,306.90/834,461,329.95 = 340,435,090.50/x
  3. Step 3: Cross multiply
    604,662,306.90x = 834,461,329.95 × 340,435,090.50
  4. Step 4: Simplify right side
    604,662,306.90x = 284,079,918,380,278,624
  5. Step 5: Solve for x
    x = 284,079,918,380,278,624/604,662,306.90
  6. Step 6: Final answer
    x = 469,815,821.39

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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.