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Finding the Fourth Proportional to 48,893,219,936.40, 73,339,829,904.60 and 48,893,219,936.40

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Solution

The fourth proportional to 48,893,219,936.40, 73,339,829,904.60 and 48,893,219,936.40 is: 73,339,829,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,219,936.40 : 73,339,829,904.60 = 48,893,219,936.40 : x
  2. Step 2: Convert to fraction form
    48,893,219,936.40/73,339,829,904.60 = 48,893,219,936.40/x
  3. Step 3: Cross multiply
    48,893,219,936.40x = 73,339,829,904.60 × 48,893,219,936.40
  4. Step 4: Simplify right side
    48,893,219,936.40x = 3,585,820,433,623,773,872,128
  5. Step 5: Solve for x
    x = 3,585,820,433,623,773,872,128/48,893,219,936.40
  6. Step 6: Final answer
    x = 73,339,829,904.60

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Why These Related Problems?

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