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Finding the Fourth Proportional to 116,896,853.30, 164,013,912.70 and 116,896,853.30

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Solution

The fourth proportional to 116,896,853.30, 164,013,912.70 and 116,896,853.30 is: 164,013,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,896,853.30 : 164,013,912.70 = 116,896,853.30 : x
  2. Step 2: Convert to fraction form
    116,896,853.30/164,013,912.70 = 116,896,853.30/x
  3. Step 3: Cross multiply
    116,896,853.30x = 164,013,912.70 × 116,896,853.30
  4. Step 4: Simplify right side
    116,896,853.30x = 19,172,710,292,050,904
  5. Step 5: Solve for x
    x = 19,172,710,292,050,904/116,896,853.30
  6. Step 6: Final answer
    x = 164,013,912.70

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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.