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Finding the Fourth Proportional to 651,683,289,350.79, 977,524,934,026.20 and 651,683,289,350.79

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Solution

The fourth proportional to 651,683,289,350.79, 977,524,934,026.20 and 651,683,289,350.79 is: 977,524,934,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,683,289,350.79 : 977,524,934,026.20 = 651,683,289,350.79 : x
  2. Step 2: Convert to fraction form
    651,683,289,350.79/977,524,934,026.20 = 651,683,289,350.79/x
  3. Step 3: Cross multiply
    651,683,289,350.79x = 977,524,934,026.20 × 651,683,289,350.79
  4. Step 4: Simplify right side
    651,683,289,350.79x = 637,036,664,428,608,056,459,264
  5. Step 5: Solve for x
    x = 637,036,664,428,608,056,459,264/651,683,289,350.79
  6. Step 6: Final answer
    x = 977,524,934,026.20

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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.