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Finding the Fourth Proportional to 340,014,380.40, 476,927,125.20 and 340,014,380.40

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Solution

The fourth proportional to 340,014,380.40, 476,927,125.20 and 340,014,380.40 is: 476,927,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,014,380.40 : 476,927,125.20 = 340,014,380.40 : x
  2. Step 2: Convert to fraction form
    340,014,380.40/476,927,125.20 = 340,014,380.40/x
  3. Step 3: Cross multiply
    340,014,380.40x = 476,927,125.20 × 340,014,380.40
  4. Step 4: Simplify right side
    340,014,380.40x = 162,162,080,970,831,200
  5. Step 5: Solve for x
    x = 162,162,080,970,831,200/340,014,380.40
  6. Step 6: Final answer
    x = 476,927,125.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.