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Finding the Fourth Proportional to 1,492,993,005.70, 2,085,352,913.90 and 1,492,993,005.70

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Solution

The fourth proportional to 1,492,993,005.70, 2,085,352,913.90 and 1,492,993,005.70 is: 2,085,352,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492,993,005.70 : 2,085,352,913.90 = 1,492,993,005.70 : x
  2. Step 2: Convert to fraction form
    1,492,993,005.70/2,085,352,913.90 = 1,492,993,005.70/x
  3. Step 3: Cross multiply
    1,492,993,005.70x = 2,085,352,913.90 × 1,492,993,005.70
  4. Step 4: Simplify right side
    1,492,993,005.70x = 3,113,417,314,868,814,336
  5. Step 5: Solve for x
    x = 3,113,417,314,868,814,336/1,492,993,005.70
  6. Step 6: Final answer
    x = 2,085,352,913.90

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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.