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Finding the Fourth Proportional to 195,219,650,726.40, 292,829,476,089.60 and 195,219,650,726.40

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Solution

The fourth proportional to 195,219,650,726.40, 292,829,476,089.60 and 195,219,650,726.40 is: 292,829,476,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,219,650,726.40 : 292,829,476,089.60 = 195,219,650,726.40 : x
  2. Step 2: Convert to fraction form
    195,219,650,726.40/292,829,476,089.60 = 195,219,650,726.40/x
  3. Step 3: Cross multiply
    195,219,650,726.40x = 292,829,476,089.60 × 195,219,650,726.40
  4. Step 4: Simplify right side
    195,219,650,726.40x = 57,166,068,044,606,402,985,984
  5. Step 5: Solve for x
    x = 57,166,068,044,606,402,985,984/195,219,650,726.40
  6. Step 6: Final answer
    x = 292,829,476,089.60

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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.