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Finding the Fourth Proportional to 6,630,996,875.85, 9,946,495,313.78 and 6,630,996,875.85

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Solution

The fourth proportional to 6,630,996,875.85, 9,946,495,313.78 and 6,630,996,875.85 is: 9,946,495,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630,996,875.85 : 9,946,495,313.78 = 6,630,996,875.85 : x
  2. Step 2: Convert to fraction form
    6,630,996,875.85/9,946,495,313.78 = 6,630,996,875.85/x
  3. Step 3: Cross multiply
    6,630,996,875.85x = 9,946,495,313.78 × 6,630,996,875.85
  4. Step 4: Simplify right side
    6,630,996,875.85x = 65,955,179,351,298,695,168
  5. Step 5: Solve for x
    x = 65,955,179,351,298,695,168/6,630,996,875.85
  6. Step 6: Final answer
    x = 9,946,495,313.78

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Double scale
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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.