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Finding the Fourth Proportional to 459,368,014,750.28, 689,052,022,125.40 and 459,368,014,750.28

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Solution

The fourth proportional to 459,368,014,750.28, 689,052,022,125.40 and 459,368,014,750.28 is: 689,052,022,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,368,014,750.28 : 689,052,022,125.40 = 459,368,014,750.28 : x
  2. Step 2: Convert to fraction form
    459,368,014,750.28/689,052,022,125.40 = 459,368,014,750.28/x
  3. Step 3: Cross multiply
    459,368,014,750.28x = 689,052,022,125.40 × 459,368,014,750.28
  4. Step 4: Simplify right side
    459,368,014,750.28x = 316,528,459,463,411,072,237,568
  5. Step 5: Solve for x
    x = 316,528,459,463,411,072,237,568/459,368,014,750.28
  6. Step 6: Final answer
    x = 689,052,022,125.40

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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.