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Finding the Fourth Proportional to 37,768,032,030.80, 52,952,641,548.40 and 37,768,032,030.80

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Solution

The fourth proportional to 37,768,032,030.80, 52,952,641,548.40 and 37,768,032,030.80 is: 52,952,641,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,768,032,030.80 : 52,952,641,548.40 = 37,768,032,030.80 : x
  2. Step 2: Convert to fraction form
    37,768,032,030.80/52,952,641,548.40 = 37,768,032,030.80/x
  3. Step 3: Cross multiply
    37,768,032,030.80x = 52,952,641,548.40 × 37,768,032,030.80
  4. Step 4: Simplify right side
    37,768,032,030.80x = 1,999,917,062,115,442,294,784
  5. Step 5: Solve for x
    x = 1,999,917,062,115,442,294,784/37,768,032,030.80
  6. Step 6: Final answer
    x = 52,952,641,548.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.