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Finding the Fourth Proportional to 733,084,547.40, 1,099,626,821.10 and 733,084,547.40

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Solution

The fourth proportional to 733,084,547.40, 1,099,626,821.10 and 733,084,547.40 is: 1,099,626,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,084,547.40 : 1,099,626,821.10 = 733,084,547.40 : x
  2. Step 2: Convert to fraction form
    733,084,547.40/1,099,626,821.10 = 733,084,547.40/x
  3. Step 3: Cross multiply
    733,084,547.40x = 1,099,626,821.10 × 733,084,547.40
  4. Step 4: Simplify right side
    733,084,547.40x = 806,119,430,454,994,176
  5. Step 5: Solve for x
    x = 806,119,430,454,994,176/733,084,547.40
  6. Step 6: Final answer
    x = 1,099,626,821.10

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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.