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Finding the Fourth Proportional to 907,848,020.83, 1,361,772,031.24 and 907,848,020.83

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Solution

The fourth proportional to 907,848,020.83, 1,361,772,031.24 and 907,848,020.83 is: 1,361,772,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,848,020.83 : 1,361,772,031.24 = 907,848,020.83 : x
  2. Step 2: Convert to fraction form
    907,848,020.83/1,361,772,031.24 = 907,848,020.83/x
  3. Step 3: Cross multiply
    907,848,020.83x = 1,361,772,031.24 × 907,848,020.83
  4. Step 4: Simplify right side
    907,848,020.83x = 1,236,282,043,376,074,240
  5. Step 5: Solve for x
    x = 1,236,282,043,376,074,240/907,848,020.83
  6. Step 6: Final answer
    x = 1,361,772,031.24

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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.