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Finding the Fourth Proportional to 1,657,697,592,352.70, 2,486,546,388,529 and 1,657,697,592,352.70

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Solution

The fourth proportional to 1,657,697,592,352.70, 2,486,546,388,529 and 1,657,697,592,352.70 is: 2,486,546,388,529

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,697,592,352.70 : 2,486,546,388,529 = 1,657,697,592,352.70 : x
  2. Step 2: Convert to fraction form
    1,657,697,592,352.70/2,486,546,388,529 = 1,657,697,592,352.70/x
  3. Step 3: Cross multiply
    1,657,697,592,352.70x = 2,486,546,388,529 × 1,657,697,592,352.70
  4. Step 4: Simplify right side
    1,657,697,592,352.70x = 4,121,941,961,537,824,573,358,080
  5. Step 5: Solve for x
    x = 4,121,941,961,537,824,573,358,080/1,657,697,592,352.70
  6. Step 6: Final answer
    x = 2,486,546,388,529

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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.