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Finding the Fourth Proportional to 6,630,996,862.23, 9,946,495,293.35 and 6,630,996,862.23

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Solution

The fourth proportional to 6,630,996,862.23, 9,946,495,293.35 and 6,630,996,862.23 is: 9,946,495,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630,996,862.23 : 9,946,495,293.35 = 6,630,996,862.23 : x
  2. Step 2: Convert to fraction form
    6,630,996,862.23/9,946,495,293.35 = 6,630,996,862.23/x
  3. Step 3: Cross multiply
    6,630,996,862.23x = 9,946,495,293.35 × 6,630,996,862.23
  4. Step 4: Simplify right side
    6,630,996,862.23x = 65,955,179,080,389,312,512
  5. Step 5: Solve for x
    x = 65,955,179,080,389,312,512/6,630,996,862.23
  6. Step 6: Final answer
    x = 9,946,495,293.35

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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.