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Finding the Fourth Proportional to 175,876,872,003.40, 263,815,308,005.10 and 175,876,872,003.40

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Solution

The fourth proportional to 175,876,872,003.40, 263,815,308,005.10 and 175,876,872,003.40 is: 263,815,308,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,876,872,003.40 : 263,815,308,005.10 = 175,876,872,003.40 : x
  2. Step 2: Convert to fraction form
    175,876,872,003.40/263,815,308,005.10 = 175,876,872,003.40/x
  3. Step 3: Cross multiply
    175,876,872,003.40x = 263,815,308,005.10 × 175,876,872,003.40
  4. Step 4: Simplify right side
    175,876,872,003.40x = 46,399,011,158,550,518,956,032
  5. Step 5: Solve for x
    x = 46,399,011,158,550,518,956,032/175,876,872,003.40
  6. Step 6: Final answer
    x = 263,815,308,005.10

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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.