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Finding the Fourth Proportional to 228,401,532,132.60, 342,602,298,198.90 and 228,401,532,132.60

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Solution

The fourth proportional to 228,401,532,132.60, 342,602,298,198.90 and 228,401,532,132.60 is: 342,602,298,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,401,532,132.60 : 342,602,298,198.90 = 228,401,532,132.60 : x
  2. Step 2: Convert to fraction form
    228,401,532,132.60/342,602,298,198.90 = 228,401,532,132.60/x
  3. Step 3: Cross multiply
    228,401,532,132.60x = 342,602,298,198.90 × 228,401,532,132.60
  4. Step 4: Simplify right side
    228,401,532,132.60x = 78,250,889,820,778,673,471,488
  5. Step 5: Solve for x
    x = 78,250,889,820,778,673,471,488/228,401,532,132.60
  6. Step 6: Final answer
    x = 342,602,298,198.90

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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.