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Finding the Fourth Proportional to 1,121,006,404.40, 1,681,509,606.60 and 1,121,006,404.40

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Solution

The fourth proportional to 1,121,006,404.40, 1,681,509,606.60 and 1,121,006,404.40 is: 1,681,509,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,006,404.40 : 1,681,509,606.60 = 1,121,006,404.40 : x
  2. Step 2: Convert to fraction form
    1,121,006,404.40/1,681,509,606.60 = 1,121,006,404.40/x
  3. Step 3: Cross multiply
    1,121,006,404.40x = 1,681,509,606.60 × 1,121,006,404.40
  4. Step 4: Simplify right side
    1,121,006,404.40x = 1,884,983,038,058,724,608
  5. Step 5: Solve for x
    x = 1,884,983,038,058,724,608/1,121,006,404.40
  6. Step 6: Final answer
    x = 1,681,509,606.60

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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.