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Finding the Fourth Proportional to 3,434,688,025.80, 5,152,032,038.70 and 3,434,688,025.80

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Solution

The fourth proportional to 3,434,688,025.80, 5,152,032,038.70 and 3,434,688,025.80 is: 5,152,032,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,688,025.80 : 5,152,032,038.70 = 3,434,688,025.80 : x
  2. Step 2: Convert to fraction form
    3,434,688,025.80/5,152,032,038.70 = 3,434,688,025.80/x
  3. Step 3: Cross multiply
    3,434,688,025.80x = 5,152,032,038.70 × 3,434,688,025.80
  4. Step 4: Simplify right side
    3,434,688,025.80x = 17,695,622,751,860,852,736
  5. Step 5: Solve for x
    x = 17,695,622,751,860,852,736/3,434,688,025.80
  6. Step 6: Final answer
    x = 5,152,032,038.70

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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.