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Finding the Fourth Proportional to 650,623,103,999.60, 975,934,655,999.40 and 650,623,103,999.60

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Solution

The fourth proportional to 650,623,103,999.60, 975,934,655,999.40 and 650,623,103,999.60 is: 975,934,655,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,623,103,999.60 : 975,934,655,999.40 = 650,623,103,999.60 : x
  2. Step 2: Convert to fraction form
    650,623,103,999.60/975,934,655,999.40 = 650,623,103,999.60/x
  3. Step 3: Cross multiply
    650,623,103,999.60x = 975,934,655,999.40 × 650,623,103,999.60
  4. Step 4: Simplify right side
    650,623,103,999.60x = 634,965,635,187,111,515,652,096
  5. Step 5: Solve for x
    x = 634,965,635,187,111,515,652,096/650,623,103,999.60
  6. Step 6: Final answer
    x = 975,934,655,999.40

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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.