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Finding the Fourth Proportional to 82,976,133.40, 115,939,838.60 and 82,976,133.40

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Solution

The fourth proportional to 82,976,133.40, 115,939,838.60 and 82,976,133.40 is: 115,939,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,976,133.40 : 115,939,838.60 = 82,976,133.40 : x
  2. Step 2: Convert to fraction form
    82,976,133.40/115,939,838.60 = 82,976,133.40/x
  3. Step 3: Cross multiply
    82,976,133.40x = 115,939,838.60 × 82,976,133.40
  4. Step 4: Simplify right side
    82,976,133.40x = 9,620,239,514,048,070
  5. Step 5: Solve for x
    x = 9,620,239,514,048,070/82,976,133.40
  6. Step 6: Final answer
    x = 115,939,838.60

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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.