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Finding the Fourth Proportional to 974,313,644.30, 1,461,470,466.45 and 974,313,644.30

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Solution

The fourth proportional to 974,313,644.30, 1,461,470,466.45 and 974,313,644.30 is: 1,461,470,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,313,644.30 : 1,461,470,466.45 = 974,313,644.30 : x
  2. Step 2: Convert to fraction form
    974,313,644.30/1,461,470,466.45 = 974,313,644.30/x
  3. Step 3: Cross multiply
    974,313,644.30x = 1,461,470,466.45 × 974,313,644.30
  4. Step 4: Simplify right side
    974,313,644.30x = 1,423,930,616,203,720,448
  5. Step 5: Solve for x
    x = 1,423,930,616,203,720,448/974,313,644.30
  6. Step 6: Final answer
    x = 1,461,470,466.45

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1.5x scale

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.