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Finding the Fourth Proportional to 1,260,414,820.80, 1,889,346,772.80 and 742,578,710.40

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Solution

The fourth proportional to 1,260,414,820.80, 1,889,346,772.80 and 742,578,710.40 is: 1,113,116,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,414,820.80 : 1,889,346,772.80 = 742,578,710.40 : x
  2. Step 2: Convert to fraction form
    1,260,414,820.80/1,889,346,772.80 = 742,578,710.40/x
  3. Step 3: Cross multiply
    1,260,414,820.80x = 1,889,346,772.80 × 742,578,710.40
  4. Step 4: Simplify right side
    1,260,414,820.80x = 1,402,988,690,044,225,792
  5. Step 5: Solve for x
    x = 1,402,988,690,044,225,792/1,260,414,820.80
  6. Step 6: Final answer
    x = 1,113,116,623.90

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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.