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Finding the Fourth Proportional to 340,016,078.40, 476,929,502.40 and 340,016,078.40

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Solution

The fourth proportional to 340,016,078.40, 476,929,502.40 and 340,016,078.40 is: 476,929,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,016,078.40 : 476,929,502.40 = 340,016,078.40 : x
  2. Step 2: Convert to fraction form
    340,016,078.40/476,929,502.40 = 340,016,078.40/x
  3. Step 3: Cross multiply
    340,016,078.40x = 476,929,502.40 × 340,016,078.40
  4. Step 4: Simplify right side
    340,016,078.40x = 162,163,699,079,311,360
  5. Step 5: Solve for x
    x = 162,163,699,079,311,360/340,016,078.40
  6. Step 6: Final answer
    x = 476,929,502.40

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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.