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Finding the Fourth Proportional to 116,537,743.80, 174,806,615.70 and 78,217,615.80

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Solution

The fourth proportional to 116,537,743.80, 174,806,615.70 and 78,217,615.80 is: 117,326,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,537,743.80 : 174,806,615.70 = 78,217,615.80 : x
  2. Step 2: Convert to fraction form
    116,537,743.80/174,806,615.70 = 78,217,615.80/x
  3. Step 3: Cross multiply
    116,537,743.80x = 174,806,615.70 × 78,217,615.80
  4. Step 4: Simplify right side
    116,537,743.80x = 13,672,956,706,120,846
  5. Step 5: Solve for x
    x = 13,672,956,706,120,846/116,537,743.80
  6. Step 6: Final answer
    x = 117,326,423.70

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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.