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Finding the Fourth Proportional to 287,658,972,030.30, 431,488,458,045.45 and 287,658,972,030.30

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Solution

The fourth proportional to 287,658,972,030.30, 431,488,458,045.45 and 287,658,972,030.30 is: 431,488,458,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,658,972,030.30 : 431,488,458,045.45 = 287,658,972,030.30 : x
  2. Step 2: Convert to fraction form
    287,658,972,030.30/431,488,458,045.45 = 287,658,972,030.30/x
  3. Step 3: Cross multiply
    287,658,972,030.30x = 431,488,458,045.45 × 287,658,972,030.30
  4. Step 4: Simplify right side
    287,658,972,030.30x = 124,121,526,284,293,370,806,272
  5. Step 5: Solve for x
    x = 124,121,526,284,293,370,806,272/287,658,972,030.30
  6. Step 6: Final answer
    x = 431,488,458,045.45

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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.