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Finding the Fourth Proportional to 25,902,877,368.60, 38,854,316,052.90 and 25,902,877,368.60

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Solution

The fourth proportional to 25,902,877,368.60, 38,854,316,052.90 and 25,902,877,368.60 is: 38,854,316,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902,877,368.60 : 38,854,316,052.90 = 25,902,877,368.60 : x
  2. Step 2: Convert to fraction form
    25,902,877,368.60/38,854,316,052.90 = 25,902,877,368.60/x
  3. Step 3: Cross multiply
    25,902,877,368.60x = 38,854,316,052.90 × 25,902,877,368.60
  4. Step 4: Simplify right side
    25,902,877,368.60x = 1,006,438,583,959,095,083,008
  5. Step 5: Solve for x
    x = 1,006,438,583,959,095,083,008/25,902,877,368.60
  6. Step 6: Final answer
    x = 38,854,316,052.90

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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.