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Finding the Fourth Proportional to 688,634,671.60, 1,032,952,007.40 and 688,634,671.60

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Solution

The fourth proportional to 688,634,671.60, 1,032,952,007.40 and 688,634,671.60 is: 1,032,952,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,634,671.60 : 1,032,952,007.40 = 688,634,671.60 : x
  2. Step 2: Convert to fraction form
    688,634,671.60/1,032,952,007.40 = 688,634,671.60/x
  3. Step 3: Cross multiply
    688,634,671.60x = 1,032,952,007.40 × 688,634,671.60
  4. Step 4: Simplify right side
    688,634,671.60x = 711,326,566,394,459,776
  5. Step 5: Solve for x
    x = 711,326,566,394,459,776/688,634,671.60
  6. Step 6: Final answer
    x = 1,032,952,007.40

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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.