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Finding the Fourth Proportional to 106,931,507,415.45, 160,397,261,123.17 and 106,931,507,415.45

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Solution

The fourth proportional to 106,931,507,415.45, 160,397,261,123.17 and 106,931,507,415.45 is: 160,397,261,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,931,507,415.45 : 160,397,261,123.17 = 106,931,507,415.45 : x
  2. Step 2: Convert to fraction form
    106,931,507,415.45/160,397,261,123.17 = 106,931,507,415.45/x
  3. Step 3: Cross multiply
    106,931,507,415.45x = 160,397,261,123.17 × 106,931,507,415.45
  4. Step 4: Simplify right side
    106,931,507,415.45x = 17,151,520,917,210,122,944,512
  5. Step 5: Solve for x
    x = 17,151,520,917,210,122,944,512/106,931,507,415.45
  6. Step 6: Final answer
    x = 160,397,261,123.17

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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.