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Finding the Fourth Proportional to 132,094,575,897.40, 185,454,834,017 and 132,094,575,897.40

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Solution

The fourth proportional to 132,094,575,897.40, 185,454,834,017 and 132,094,575,897.40 is: 185,454,834,017

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,094,575,897.40 : 185,454,834,017 = 132,094,575,897.40 : x
  2. Step 2: Convert to fraction form
    132,094,575,897.40/185,454,834,017 = 132,094,575,897.40/x
  3. Step 3: Cross multiply
    132,094,575,897.40x = 185,454,834,017 × 132,094,575,897.40
  4. Step 4: Simplify right side
    132,094,575,897.40x = 24,497,577,647,598,326,513,664
  5. Step 5: Solve for x
    x = 24,497,577,647,598,326,513,664/132,094,575,897.40
  6. Step 6: Final answer
    x = 185,454,834,017

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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.