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Finding the Fourth Proportional to 42,710,205,163.20, 64,065,307,744.80 and 42,710,205,163.20

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Solution

The fourth proportional to 42,710,205,163.20, 64,065,307,744.80 and 42,710,205,163.20 is: 64,065,307,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,710,205,163.20 : 64,065,307,744.80 = 42,710,205,163.20 : x
  2. Step 2: Convert to fraction form
    42,710,205,163.20/64,065,307,744.80 = 42,710,205,163.20/x
  3. Step 3: Cross multiply
    42,710,205,163.20x = 64,065,307,744.80 × 42,710,205,163.20
  4. Step 4: Simplify right side
    42,710,205,163.20x = 2,736,242,437,623,954,014,208
  5. Step 5: Solve for x
    x = 2,736,242,437,623,954,014,208/42,710,205,163.20
  6. Step 6: Final answer
    x = 64,065,307,744.80

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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.