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Finding the Fourth Proportional to 688,635,009.10, 1,032,952,513.65 and 688,635,009.10

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Solution

The fourth proportional to 688,635,009.10, 1,032,952,513.65 and 688,635,009.10 is: 1,032,952,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,635,009.10 : 1,032,952,513.65 = 688,635,009.10 : x
  2. Step 2: Convert to fraction form
    688,635,009.10/1,032,952,513.65 = 688,635,009.10/x
  3. Step 3: Cross multiply
    688,635,009.10x = 1,032,952,513.65 × 688,635,009.10
  4. Step 4: Simplify right side
    688,635,009.10x = 711,327,263,637,235,584
  5. Step 5: Solve for x
    x = 711,327,263,637,235,584/688,635,009.10
  6. Step 6: Final answer
    x = 1,032,952,513.65

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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.