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Finding the Fourth Proportional to 75,078,117.60, 105,336,112.80 and 75,078,117.60

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Solution

The fourth proportional to 75,078,117.60, 105,336,112.80 and 75,078,117.60 is: 105,336,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,078,117.60 : 105,336,112.80 = 75,078,117.60 : x
  2. Step 2: Convert to fraction form
    75,078,117.60/105,336,112.80 = 75,078,117.60/x
  3. Step 3: Cross multiply
    75,078,117.60x = 105,336,112.80 × 75,078,117.60
  4. Step 4: Simplify right side
    75,078,117.60x = 7,908,437,064,325,264
  5. Step 5: Solve for x
    x = 7,908,437,064,325,264/75,078,117.60
  6. Step 6: Final answer
    x = 105,336,112.80

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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.