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Finding the Fourth Proportional to 594,505,341,490.20, 891,758,012,235.30 and 594,505,341,490.20

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Solution

The fourth proportional to 594,505,341,490.20, 891,758,012,235.30 and 594,505,341,490.20 is: 891,758,012,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,505,341,490.20 : 891,758,012,235.30 = 594,505,341,490.20 : x
  2. Step 2: Convert to fraction form
    594,505,341,490.20/891,758,012,235.30 = 594,505,341,490.20/x
  3. Step 3: Cross multiply
    594,505,341,490.20x = 891,758,012,235.30 × 594,505,341,490.20
  4. Step 4: Simplify right side
    594,505,341,490.20x = 530,154,901,590,568,941,387,776
  5. Step 5: Solve for x
    x = 530,154,901,590,568,941,387,776/594,505,341,490.20
  6. Step 6: Final answer
    x = 891,758,012,235.30

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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.