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Finding the Fourth Proportional to 136,447,681,036.05, 204,671,521,554.08 and 136,447,681,036.05

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Solution

The fourth proportional to 136,447,681,036.05, 204,671,521,554.08 and 136,447,681,036.05 is: 204,671,521,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,447,681,036.05 : 204,671,521,554.08 = 136,447,681,036.05 : x
  2. Step 2: Convert to fraction form
    136,447,681,036.05/204,671,521,554.08 = 136,447,681,036.05/x
  3. Step 3: Cross multiply
    136,447,681,036.05x = 204,671,521,554.08 × 136,447,681,036.05
  4. Step 4: Simplify right side
    136,447,681,036.05x = 27,926,954,490,174,139,006,976
  5. Step 5: Solve for x
    x = 27,926,954,490,174,139,006,976/136,447,681,036.05
  6. Step 6: Final answer
    x = 204,671,521,554.08

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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.