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Finding the Fourth Proportional to 149,171,544,008.90, 223,757,316,013.35 and 149,171,544,008.90

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Solution

The fourth proportional to 149,171,544,008.90, 223,757,316,013.35 and 149,171,544,008.90 is: 223,757,316,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,171,544,008.90 : 223,757,316,013.35 = 149,171,544,008.90 : x
  2. Step 2: Convert to fraction form
    149,171,544,008.90/223,757,316,013.35 = 149,171,544,008.90/x
  3. Step 3: Cross multiply
    149,171,544,008.90x = 223,757,316,013.35 × 149,171,544,008.90
  4. Step 4: Simplify right side
    149,171,544,008.90x = 33,378,224,312,998,783,090,688
  5. Step 5: Solve for x
    x = 33,378,224,312,998,783,090,688/149,171,544,008.90
  6. Step 6: Final answer
    x = 223,757,316,013.35

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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.