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Finding the Fourth Proportional to 25,460,208,001.60, 38,190,312,002.40 and 25,460,208,001.60

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Solution

The fourth proportional to 25,460,208,001.60, 38,190,312,002.40 and 25,460,208,001.60 is: 38,190,312,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,460,208,001.60 : 38,190,312,002.40 = 25,460,208,001.60 : x
  2. Step 2: Convert to fraction form
    25,460,208,001.60/38,190,312,002.40 = 25,460,208,001.60/x
  3. Step 3: Cross multiply
    25,460,208,001.60x = 38,190,312,002.40 × 25,460,208,001.60
  4. Step 4: Simplify right side
    25,460,208,001.60x = 972,333,287,227,104,952,320
  5. Step 5: Solve for x
    x = 972,333,287,227,104,952,320/25,460,208,001.60
  6. Step 6: Final answer
    x = 38,190,312,002.40

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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.