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Finding the Fourth Proportional to 43,968,896,145.60, 65,953,344,218.40 and 43,968,896,145.60

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Solution

The fourth proportional to 43,968,896,145.60, 65,953,344,218.40 and 43,968,896,145.60 is: 65,953,344,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,968,896,145.60 : 65,953,344,218.40 = 43,968,896,145.60 : x
  2. Step 2: Convert to fraction form
    43,968,896,145.60/65,953,344,218.40 = 43,968,896,145.60/x
  3. Step 3: Cross multiply
    43,968,896,145.60x = 65,953,344,218.40 × 43,968,896,145.60
  4. Step 4: Simplify right side
    43,968,896,145.60x = 2,899,895,742,393,837,682,688
  5. Step 5: Solve for x
    x = 2,899,895,742,393,837,682,688/43,968,896,145.60
  6. Step 6: Final answer
    x = 65,953,344,218.40

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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.