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Finding the Fourth Proportional to 76,685,103,030.40, 115,027,654,545.60 and 76,685,103,030.40

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Solution

The fourth proportional to 76,685,103,030.40, 115,027,654,545.60 and 76,685,103,030.40 is: 115,027,654,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,685,103,030.40 : 115,027,654,545.60 = 76,685,103,030.40 : x
  2. Step 2: Convert to fraction form
    76,685,103,030.40/115,027,654,545.60 = 76,685,103,030.40/x
  3. Step 3: Cross multiply
    76,685,103,030.40x = 115,027,654,545.60 × 76,685,103,030.40
  4. Step 4: Simplify right side
    76,685,103,030.40x = 8,820,907,540,174,594,899,968
  5. Step 5: Solve for x
    x = 8,820,907,540,174,594,899,968/76,685,103,030.40
  6. Step 6: Final answer
    x = 115,027,654,545.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.