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Finding the Fourth Proportional to 181,713,457,999.30, 272,570,186,998.95 and 181,713,457,999.30

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Solution

The fourth proportional to 181,713,457,999.30, 272,570,186,998.95 and 181,713,457,999.30 is: 272,570,186,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,713,457,999.30 : 272,570,186,998.95 = 181,713,457,999.30 : x
  2. Step 2: Convert to fraction form
    181,713,457,999.30/272,570,186,998.95 = 181,713,457,999.30/x
  3. Step 3: Cross multiply
    181,713,457,999.30x = 272,570,186,998.95 × 181,713,457,999.30
  4. Step 4: Simplify right side
    181,713,457,999.30x = 49,529,671,227,095,044,325,376
  5. Step 5: Solve for x
    x = 49,529,671,227,095,044,325,376/181,713,457,999.30
  6. Step 6: Final answer
    x = 272,570,186,998.95

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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.