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Finding the Fourth Proportional to 468,649,346.40, 702,974,019.60 and 468,649,346.40

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Solution

The fourth proportional to 468,649,346.40, 702,974,019.60 and 468,649,346.40 is: 702,974,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,649,346.40 : 702,974,019.60 = 468,649,346.40 : x
  2. Step 2: Convert to fraction form
    468,649,346.40/702,974,019.60 = 468,649,346.40/x
  3. Step 3: Cross multiply
    468,649,346.40x = 702,974,019.60 × 468,649,346.40
  4. Step 4: Simplify right side
    468,649,346.40x = 329,448,314,821,720,768
  5. Step 5: Solve for x
    x = 329,448,314,821,720,768/468,649,346.40
  6. Step 6: Final answer
    x = 702,974,019.60

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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.