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Finding the Fourth Proportional to 127,712,325,698.40, 191,568,488,547.60 and 127,712,325,698.40

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Solution

The fourth proportional to 127,712,325,698.40, 191,568,488,547.60 and 127,712,325,698.40 is: 191,568,488,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,712,325,698.40 : 191,568,488,547.60 = 127,712,325,698.40 : x
  2. Step 2: Convert to fraction form
    127,712,325,698.40/191,568,488,547.60 = 127,712,325,698.40/x
  3. Step 3: Cross multiply
    127,712,325,698.40x = 191,568,488,547.60 × 127,712,325,698.40
  4. Step 4: Simplify right side
    127,712,325,698.40x = 24,465,657,202,941,301,358,592
  5. Step 5: Solve for x
    x = 24,465,657,202,941,301,358,592/127,712,325,698.40
  6. Step 6: Final answer
    x = 191,568,488,547.60

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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.