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Finding the Fourth Proportional to 1,302,843,712.80, 1,954,549,004.40 and 429,296,426.40

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Solution

The fourth proportional to 1,302,843,712.80, 1,954,549,004.40 and 429,296,426.40 is: 644,038,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,843,712.80 : 1,954,549,004.40 = 429,296,426.40 : x
  2. Step 2: Convert to fraction form
    1,302,843,712.80/1,954,549,004.40 = 429,296,426.40/x
  3. Step 3: Cross multiply
    1,302,843,712.80x = 1,954,549,004.40 × 429,296,426.40
  4. Step 4: Simplify right side
    1,302,843,712.80x = 839,080,902,812,597,888
  5. Step 5: Solve for x
    x = 839,080,902,812,597,888/1,302,843,712.80
  6. Step 6: Final answer
    x = 644,038,033.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.