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Finding the Fourth Proportional to 75,176,000.40, 105,019,652.40 and 75,176,000.40

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Solution

The fourth proportional to 75,176,000.40, 105,019,652.40 and 75,176,000.40 is: 105,019,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,176,000.40 : 105,019,652.40 = 75,176,000.40 : x
  2. Step 2: Convert to fraction form
    75,176,000.40/105,019,652.40 = 75,176,000.40/x
  3. Step 3: Cross multiply
    75,176,000.40x = 105,019,652.40 × 75,176,000.40
  4. Step 4: Simplify right side
    75,176,000.40x = 7,894,957,430,830,262
  5. Step 5: Solve for x
    x = 7,894,957,430,830,262/75,176,000.40
  6. Step 6: Final answer
    x = 105,019,652.40

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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.