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Finding the Fourth Proportional to 75,152,675,420.40, 112,729,013,130.60 and 75,152,675,420.40

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Solution

The fourth proportional to 75,152,675,420.40, 112,729,013,130.60 and 75,152,675,420.40 is: 112,729,013,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,152,675,420.40 : 112,729,013,130.60 = 75,152,675,420.40 : x
  2. Step 2: Convert to fraction form
    75,152,675,420.40/112,729,013,130.60 = 75,152,675,420.40/x
  3. Step 3: Cross multiply
    75,152,675,420.40x = 112,729,013,130.60 × 75,152,675,420.40
  4. Step 4: Simplify right side
    75,152,675,420.40x = 8,471,886,934,265,991,004,160
  5. Step 5: Solve for x
    x = 8,471,886,934,265,991,004,160/75,152,675,420.40
  6. Step 6: Final answer
    x = 112,729,013,130.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.