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Finding the Fourth Proportional to 29,898,828.30, 41,971,733.70 and 29,898,828.30

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Solution

The fourth proportional to 29,898,828.30, 41,971,733.70 and 29,898,828.30 is: 41,971,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,898,828.30 : 41,971,733.70 = 29,898,828.30 : x
  2. Step 2: Convert to fraction form
    29,898,828.30/41,971,733.70 = 29,898,828.30/x
  3. Step 3: Cross multiply
    29,898,828.30x = 41,971,733.70 × 29,898,828.30
  4. Step 4: Simplify right side
    29,898,828.30x = 1,254,905,659,349,623.75
  5. Step 5: Solve for x
    x = 1,254,905,659,349,623.75/29,898,828.30
  6. Step 6: Final answer
    x = 41,971,733.70

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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.