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Finding the Fourth Proportional to 176,368,427,999.10, 264,552,641,998.66 and 176,368,427,999.10

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Solution

The fourth proportional to 176,368,427,999.10, 264,552,641,998.66 and 176,368,427,999.10 is: 264,552,641,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,368,427,999.10 : 264,552,641,998.66 = 176,368,427,999.10 : x
  2. Step 2: Convert to fraction form
    176,368,427,999.10/264,552,641,998.66 = 176,368,427,999.10/x
  3. Step 3: Cross multiply
    176,368,427,999.10x = 264,552,641,998.66 × 176,368,427,999.10
  4. Step 4: Simplify right side
    176,368,427,999.10x = 46,658,733,592,312,343,953,408
  5. Step 5: Solve for x
    x = 46,658,733,592,312,343,953,408/176,368,427,999.10
  6. Step 6: Final answer
    x = 264,552,641,998.66

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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.