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Finding the Fourth Proportional to 10,865,535,138.60, 16,298,302,707.90 and 10,865,535,138.60

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Solution

The fourth proportional to 10,865,535,138.60, 16,298,302,707.90 and 10,865,535,138.60 is: 16,298,302,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865,535,138.60 : 16,298,302,707.90 = 10,865,535,138.60 : x
  2. Step 2: Convert to fraction form
    10,865,535,138.60/16,298,302,707.90 = 10,865,535,138.60/x
  3. Step 3: Cross multiply
    10,865,535,138.60x = 16,298,302,707.90 × 10,865,535,138.60
  4. Step 4: Simplify right side
    10,865,535,138.60x = 177,089,780,772,226,990,080
  5. Step 5: Solve for x
    x = 177,089,780,772,226,990,080/10,865,535,138.60
  6. Step 6: Final answer
    x = 16,298,302,707.90

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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.