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Finding the Fourth Proportional to 292,833,792,003.10, 439,250,688,004.65 and 292,833,792,003.10

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Solution

The fourth proportional to 292,833,792,003.10, 439,250,688,004.65 and 292,833,792,003.10 is: 439,250,688,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,833,792,003.10 : 439,250,688,004.65 = 292,833,792,003.10 : x
  2. Step 2: Convert to fraction form
    292,833,792,003.10/439,250,688,004.65 = 292,833,792,003.10/x
  3. Step 3: Cross multiply
    292,833,792,003.10x = 439,250,688,004.65 × 292,833,792,003.10
  4. Step 4: Simplify right side
    292,833,792,003.10x = 128,627,444,608,372,249,198,592
  5. Step 5: Solve for x
    x = 128,627,444,608,372,249,198,592/292,833,792,003.10
  6. Step 6: Final answer
    x = 439,250,688,004.65

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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.