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Finding the Fourth Proportional to 117,402,642.90, 164,703,822.30 and 117,402,642.90

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Solution

The fourth proportional to 117,402,642.90, 164,703,822.30 and 117,402,642.90 is: 164,703,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,402,642.90 : 164,703,822.30 = 117,402,642.90 : x
  2. Step 2: Convert to fraction form
    117,402,642.90/164,703,822.30 = 117,402,642.90/x
  3. Step 3: Cross multiply
    117,402,642.90x = 164,703,822.30 × 117,402,642.90
  4. Step 4: Simplify right side
    117,402,642.90x = 19,336,664,033,751,960
  5. Step 5: Solve for x
    x = 19,336,664,033,751,960/117,402,642.90
  6. Step 6: Final answer
    x = 164,703,822.30

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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.