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Finding the Fourth Proportional to 7,601,473,203.40, 10,656,574,367 and 7,601,473,203.40

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Solution

The fourth proportional to 7,601,473,203.40, 10,656,574,367 and 7,601,473,203.40 is: 10,656,574,367

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601,473,203.40 : 10,656,574,367 = 7,601,473,203.40 : x
  2. Step 2: Convert to fraction form
    7,601,473,203.40/10,656,574,367 = 7,601,473,203.40/x
  3. Step 3: Cross multiply
    7,601,473,203.40x = 10,656,574,367 × 7,601,473,203.40
  4. Step 4: Simplify right side
    7,601,473,203.40x = 81,005,664,490,789,814,272
  5. Step 5: Solve for x
    x = 81,005,664,490,789,814,272/7,601,473,203.40
  6. Step 6: Final answer
    x = 10,656,574,367

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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.