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Finding the Fourth Proportional to 7,677,488,086.40, 10,762,995,203.20 and 7,677,488,086.40

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Solution

The fourth proportional to 7,677,488,086.40, 10,762,995,203.20 and 7,677,488,086.40 is: 10,762,995,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677,488,086.40 : 10,762,995,203.20 = 7,677,488,086.40 : x
  2. Step 2: Convert to fraction form
    7,677,488,086.40/10,762,995,203.20 = 7,677,488,086.40/x
  3. Step 3: Cross multiply
    7,677,488,086.40x = 10,762,995,203.20 × 7,677,488,086.40
  4. Step 4: Simplify right side
    7,677,488,086.40x = 82,632,767,446,548,348,928
  5. Step 5: Solve for x
    x = 82,632,767,446,548,348,928/7,677,488,086.40
  6. Step 6: Final answer
    x = 10,762,995,203.20

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Double scale
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1.5x scale

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.