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Finding the Fourth Proportional to 48,893,219,913.40, 73,339,829,870.10 and 48,893,219,913.40

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Solution

The fourth proportional to 48,893,219,913.40, 73,339,829,870.10 and 48,893,219,913.40 is: 73,339,829,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,219,913.40 : 73,339,829,870.10 = 48,893,219,913.40 : x
  2. Step 2: Convert to fraction form
    48,893,219,913.40/73,339,829,870.10 = 48,893,219,913.40/x
  3. Step 3: Cross multiply
    48,893,219,913.40x = 73,339,829,870.10 × 48,893,219,913.40
  4. Step 4: Simplify right side
    48,893,219,913.40x = 3,585,820,430,250,142,072,832
  5. Step 5: Solve for x
    x = 3,585,820,430,250,142,072,832/48,893,219,913.40
  6. Step 6: Final answer
    x = 73,339,829,870.10

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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.