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Finding the Fourth Proportional to 650,623,103,999.10, 975,934,655,998.65 and 650,623,103,999.10

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Solution

The fourth proportional to 650,623,103,999.10, 975,934,655,998.65 and 650,623,103,999.10 is: 975,934,655,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,623,103,999.10 : 975,934,655,998.65 = 650,623,103,999.10 : x
  2. Step 2: Convert to fraction form
    650,623,103,999.10/975,934,655,998.65 = 650,623,103,999.10/x
  3. Step 3: Cross multiply
    650,623,103,999.10x = 975,934,655,998.65 × 650,623,103,999.10
  4. Step 4: Simplify right side
    650,623,103,999.10x = 634,965,635,186,135,484,334,080
  5. Step 5: Solve for x
    x = 634,965,635,186,135,484,334,080/650,623,103,999.10
  6. Step 6: Final answer
    x = 975,934,655,998.65

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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.