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Finding the Fourth Proportional to 874,255,646.63, 1,311,239,827.11 and 313,901,476.04

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Solution

The fourth proportional to 874,255,646.63, 1,311,239,827.11 and 313,901,476.04 is: 470,800,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,255,646.63 : 1,311,239,827.11 = 313,901,476.04 : x
  2. Step 2: Convert to fraction form
    874,255,646.63/1,311,239,827.11 = 313,901,476.04/x
  3. Step 3: Cross multiply
    874,255,646.63x = 1,311,239,827.11 × 313,901,476.04
  4. Step 4: Simplify right side
    874,255,646.63x = 411,600,117,172,263,424
  5. Step 5: Solve for x
    x = 411,600,117,172,263,424/874,255,646.63
  6. Step 6: Final answer
    x = 470,800,639.10

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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.