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Finding the Fourth Proportional to 10,865,020,435.40, 16,297,530,653.10 and 10,865,020,435.40

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Solution

The fourth proportional to 10,865,020,435.40, 16,297,530,653.10 and 10,865,020,435.40 is: 16,297,530,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865,020,435.40 : 16,297,530,653.10 = 10,865,020,435.40 : x
  2. Step 2: Convert to fraction form
    10,865,020,435.40/16,297,530,653.10 = 10,865,020,435.40/x
  3. Step 3: Cross multiply
    10,865,020,435.40x = 16,297,530,653.10 × 10,865,020,435.40
  4. Step 4: Simplify right side
    10,865,020,435.40x = 177,073,003,592,489,402,368
  5. Step 5: Solve for x
    x = 177,073,003,592,489,402,368/10,865,020,435.40
  6. Step 6: Final answer
    x = 16,297,530,653.10

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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.