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Finding the Fourth Proportional to 672,685,877.60, 1,009,028,816.40 and 672,685,877.60

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Solution

The fourth proportional to 672,685,877.60, 1,009,028,816.40 and 672,685,877.60 is: 1,009,028,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,685,877.60 : 1,009,028,816.40 = 672,685,877.60 : x
  2. Step 2: Convert to fraction form
    672,685,877.60/1,009,028,816.40 = 672,685,877.60/x
  3. Step 3: Cross multiply
    672,685,877.60x = 1,009,028,816.40 × 672,685,877.60
  4. Step 4: Simplify right side
    672,685,877.60x = 678,759,434,883,723,264
  5. Step 5: Solve for x
    x = 678,759,434,883,723,264/672,685,877.60
  6. Step 6: Final answer
    x = 1,009,028,816.40

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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.