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Finding the Fourth Proportional to 306,983,531.70, 460,475,297.55 and 306,983,531.70

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Solution

The fourth proportional to 306,983,531.70, 460,475,297.55 and 306,983,531.70 is: 460,475,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,983,531.70 : 460,475,297.55 = 306,983,531.70 : x
  2. Step 2: Convert to fraction form
    306,983,531.70/460,475,297.55 = 306,983,531.70/x
  3. Step 3: Cross multiply
    306,983,531.70x = 460,475,297.55 × 306,983,531.70
  4. Step 4: Simplify right side
    306,983,531.70x = 141,358,333,102,507,360
  5. Step 5: Solve for x
    x = 141,358,333,102,507,360/306,983,531.70
  6. Step 6: Final answer
    x = 460,475,297.55

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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.