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Finding the Fourth Proportional to 922,272,066.10, 1,383,408,099.15 and 833,308,842.70

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Solution

The fourth proportional to 922,272,066.10, 1,383,408,099.15 and 833,308,842.70 is: 1,249,963,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,272,066.10 : 1,383,408,099.15 = 833,308,842.70 : x
  2. Step 2: Convert to fraction form
    922,272,066.10/1,383,408,099.15 = 833,308,842.70/x
  3. Step 3: Cross multiply
    922,272,066.10x = 1,383,408,099.15 × 833,308,842.70
  4. Step 4: Simplify right side
    922,272,066.10x = 1,152,806,202,084,493,440
  5. Step 5: Solve for x
    x = 1,152,806,202,084,493,440/922,272,066.10
  6. Step 6: Final answer
    x = 1,249,963,264.05

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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.