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Finding the Fourth Proportional to 2,468,720,602,666.30, 3,703,080,903,999.80 and 2,468,720,602,666.30

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Solution

The fourth proportional to 2,468,720,602,666.30, 3,703,080,903,999.80 and 2,468,720,602,666.30 is: 3,703,080,903,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468,720,602,666.30 : 3,703,080,903,999.80 = 2,468,720,602,666.30 : x
  2. Step 2: Convert to fraction form
    2,468,720,602,666.30/3,703,080,903,999.80 = 2,468,720,602,666.30/x
  3. Step 3: Cross multiply
    2,468,720,602,666.30x = 3,703,080,903,999.80 × 2,468,720,602,666.30
  4. Step 4: Simplify right side
    2,468,720,602,666.30x = 9,141,872,121,044,452,549,591,040
  5. Step 5: Solve for x
    x = 9,141,872,121,044,452,549,591,040/2,468,720,602,666.30
  6. Step 6: Final answer
    x = 3,703,080,903,999.80

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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.