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Finding the Fourth Proportional to 588,709,820.40, 883,064,730.60 and 405,043,810.80

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Solution

The fourth proportional to 588,709,820.40, 883,064,730.60 and 405,043,810.80 is: 607,565,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,709,820.40 : 883,064,730.60 = 405,043,810.80 : x
  2. Step 2: Convert to fraction form
    588,709,820.40/883,064,730.60 = 405,043,810.80/x
  3. Step 3: Cross multiply
    588,709,820.40x = 883,064,730.60 × 405,043,810.80
  4. Step 4: Simplify right side
    588,709,820.40x = 357,679,903,665,299,392
  5. Step 5: Solve for x
    x = 357,679,903,665,299,392/588,709,820.40
  6. Step 6: Final answer
    x = 607,565,716.20

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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.