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Finding the Fourth Proportional to 9,677,996,946.80, 14,516,995,420.20 and 9,677,996,946.80

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Solution

The fourth proportional to 9,677,996,946.80, 14,516,995,420.20 and 9,677,996,946.80 is: 14,516,995,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677,996,946.80 : 14,516,995,420.20 = 9,677,996,946.80 : x
  2. Step 2: Convert to fraction form
    9,677,996,946.80/14,516,995,420.20 = 9,677,996,946.80/x
  3. Step 3: Cross multiply
    9,677,996,946.80x = 14,516,995,420.20 × 9,677,996,946.80
  4. Step 4: Simplify right side
    9,677,996,946.80x = 140,495,437,353,405,186,048
  5. Step 5: Solve for x
    x = 140,495,437,353,405,186,048/9,677,996,946.80
  6. Step 6: Final answer
    x = 14,516,995,420.20

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1.5x scale

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.