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Finding the Fourth Proportional to 1,419,429,068.10, 2,129,143,602.15 and 1,419,429,068.10

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Solution

The fourth proportional to 1,419,429,068.10, 2,129,143,602.15 and 1,419,429,068.10 is: 2,129,143,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,429,068.10 : 2,129,143,602.15 = 1,419,429,068.10 : x
  2. Step 2: Convert to fraction form
    1,419,429,068.10/2,129,143,602.15 = 1,419,429,068.10/x
  3. Step 3: Cross multiply
    1,419,429,068.10x = 2,129,143,602.15 × 1,419,429,068.10
  4. Step 4: Simplify right side
    1,419,429,068.10x = 3,022,168,319,050,851,840
  5. Step 5: Solve for x
    x = 3,022,168,319,050,851,840/1,419,429,068.10
  6. Step 6: Final answer
    x = 2,129,143,602.15

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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.