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Finding the Fourth Proportional to 945,214,712.40, 1,417,822,068.60 and 945,214,712.40

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Solution

The fourth proportional to 945,214,712.40, 1,417,822,068.60 and 945,214,712.40 is: 1,417,822,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,214,712.40 : 1,417,822,068.60 = 945,214,712.40 : x
  2. Step 2: Convert to fraction form
    945,214,712.40/1,417,822,068.60 = 945,214,712.40/x
  3. Step 3: Cross multiply
    945,214,712.40x = 1,417,822,068.60 × 945,214,712.40
  4. Step 4: Simplify right side
    945,214,712.40x = 1,340,146,278,806,121,984
  5. Step 5: Solve for x
    x = 1,340,146,278,806,121,984/945,214,712.40
  6. Step 6: Final answer
    x = 1,417,822,068.60

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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.