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Finding the Fourth Proportional to 897,236,415.80, 1,257,944,967.40 and 897,236,415.80

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Solution

The fourth proportional to 897,236,415.80, 1,257,944,967.40 and 897,236,415.80 is: 1,257,944,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,236,415.80 : 1,257,944,967.40 = 897,236,415.80 : x
  2. Step 2: Convert to fraction form
    897,236,415.80/1,257,944,967.40 = 897,236,415.80/x
  3. Step 3: Cross multiply
    897,236,415.80x = 1,257,944,967.40 × 897,236,415.80
  4. Step 4: Simplify right side
    897,236,415.80x = 1,128,674,033,823,623,808
  5. Step 5: Solve for x
    x = 1,128,674,033,823,623,808/897,236,415.80
  6. Step 6: Final answer
    x = 1,257,944,967.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.