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Finding the Fourth Proportional to 11,402,209,808.60, 15,984,861,555.40 and 11,402,209,808.60

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Solution

The fourth proportional to 11,402,209,808.60, 15,984,861,555.40 and 11,402,209,808.60 is: 15,984,861,555.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402,209,808.60 : 15,984,861,555.40 = 11,402,209,808.60 : x
  2. Step 2: Convert to fraction form
    11,402,209,808.60/15,984,861,555.40 = 11,402,209,808.60/x
  3. Step 3: Cross multiply
    11,402,209,808.60x = 15,984,861,555.40 × 11,402,209,808.60
  4. Step 4: Simplify right side
    11,402,209,808.60x = 182,262,745,216,094,928,896
  5. Step 5: Solve for x
    x = 182,262,745,216,094,928,896/11,402,209,808.60
  6. Step 6: Final answer
    x = 15,984,861,555.40

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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.