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Finding the Fourth Proportional to 211,638,529,007.40, 317,457,793,511.10 and 211,638,529,007.40

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Solution

The fourth proportional to 211,638,529,007.40, 317,457,793,511.10 and 211,638,529,007.40 is: 317,457,793,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,638,529,007.40 : 317,457,793,511.10 = 211,638,529,007.40 : x
  2. Step 2: Convert to fraction form
    211,638,529,007.40/317,457,793,511.10 = 211,638,529,007.40/x
  3. Step 3: Cross multiply
    211,638,529,007.40x = 317,457,793,511.10 × 211,638,529,007.40
  4. Step 4: Simplify right side
    211,638,529,007.40x = 67,186,300,440,624,131,735,552
  5. Step 5: Solve for x
    x = 67,186,300,440,624,131,735,552/211,638,529,007.40
  6. Step 6: Final answer
    x = 317,457,793,511.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.