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Finding the Fourth Proportional to 1,306,117,019.70, 1,833,729,434.10 and 1,306,117,019.70

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Solution

The fourth proportional to 1,306,117,019.70, 1,833,729,434.10 and 1,306,117,019.70 is: 1,833,729,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,117,019.70 : 1,833,729,434.10 = 1,306,117,019.70 : x
  2. Step 2: Convert to fraction form
    1,306,117,019.70/1,833,729,434.10 = 1,306,117,019.70/x
  3. Step 3: Cross multiply
    1,306,117,019.70x = 1,833,729,434.10 × 1,306,117,019.70
  4. Step 4: Simplify right side
    1,306,117,019.70x = 2,395,065,223,402,859,520
  5. Step 5: Solve for x
    x = 2,395,065,223,402,859,520/1,306,117,019.70
  6. Step 6: Final answer
    x = 1,833,729,434.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.