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Finding the Fourth Proportional to 40,115,186,455.80, 60,172,779,683.70 and 40,115,186,455.80

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Solution

The fourth proportional to 40,115,186,455.80, 60,172,779,683.70 and 40,115,186,455.80 is: 60,172,779,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,115,186,455.80 : 60,172,779,683.70 = 40,115,186,455.80 : x
  2. Step 2: Convert to fraction form
    40,115,186,455.80/60,172,779,683.70 = 40,115,186,455.80/x
  3. Step 3: Cross multiply
    40,115,186,455.80x = 60,172,779,683.70 × 40,115,186,455.80
  4. Step 4: Simplify right side
    40,115,186,455.80x = 2,413,842,276,575,399,641,088
  5. Step 5: Solve for x
    x = 2,413,842,276,575,399,641,088/40,115,186,455.80
  6. Step 6: Final answer
    x = 60,172,779,683.70

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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.