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Finding the Fourth Proportional to 140,160,032.40, 210,240,048.60 and 140,160,032.40

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Solution

The fourth proportional to 140,160,032.40, 210,240,048.60 and 140,160,032.40 is: 210,240,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,160,032.40 : 210,240,048.60 = 140,160,032.40 : x
  2. Step 2: Convert to fraction form
    140,160,032.40/210,240,048.60 = 140,160,032.40/x
  3. Step 3: Cross multiply
    140,160,032.40x = 210,240,048.60 × 140,160,032.40
  4. Step 4: Simplify right side
    140,160,032.40x = 29,467,252,023,553,576
  5. Step 5: Solve for x
    x = 29,467,252,023,553,576/140,160,032.40
  6. Step 6: Final answer
    x = 210,240,048.60

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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.