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Finding the Fourth Proportional to 824,144,006.70, 1,155,500,302.50 and 824,144,006.70

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Solution

The fourth proportional to 824,144,006.70, 1,155,500,302.50 and 824,144,006.70 is: 1,155,500,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,144,006.70 : 1,155,500,302.50 = 824,144,006.70 : x
  2. Step 2: Convert to fraction form
    824,144,006.70/1,155,500,302.50 = 824,144,006.70/x
  3. Step 3: Cross multiply
    824,144,006.70x = 1,155,500,302.50 × 824,144,006.70
  4. Step 4: Simplify right side
    824,144,006.70x = 952,298,649,045,412,096
  5. Step 5: Solve for x
    x = 952,298,649,045,412,096/824,144,006.70
  6. Step 6: Final answer
    x = 1,155,500,302.50

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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.