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Finding the Fourth Proportional to 1,069,704,012.30, 1,602,005,101.64 and 1,069,704,012.30

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Solution

The fourth proportional to 1,069,704,012.30, 1,602,005,101.64 and 1,069,704,012.30 is: 1,602,005,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,704,012.30 : 1,602,005,101.64 = 1,069,704,012.30 : x
  2. Step 2: Convert to fraction form
    1,069,704,012.30/1,602,005,101.64 = 1,069,704,012.30/x
  3. Step 3: Cross multiply
    1,069,704,012.30x = 1,602,005,101.64 × 1,069,704,012.30
  4. Step 4: Simplify right side
    1,069,704,012.30x = 1,713,671,284,949,377,280
  5. Step 5: Solve for x
    x = 1,713,671,284,949,377,280/1,069,704,012.30
  6. Step 6: Final answer
    x = 1,602,005,101.64

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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.