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Finding the Fourth Proportional to 80,742,307,968.30, 121,113,461,952.45 and 80,742,307,968.30

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Solution

The fourth proportional to 80,742,307,968.30, 121,113,461,952.45 and 80,742,307,968.30 is: 121,113,461,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,742,307,968.30 : 121,113,461,952.45 = 80,742,307,968.30 : x
  2. Step 2: Convert to fraction form
    80,742,307,968.30/121,113,461,952.45 = 80,742,307,968.30/x
  3. Step 3: Cross multiply
    80,742,307,968.30x = 121,113,461,952.45 × 80,742,307,968.30
  4. Step 4: Simplify right side
    80,742,307,968.30x = 9,778,980,444,071,702,560,768
  5. Step 5: Solve for x
    x = 9,778,980,444,071,702,560,768/80,742,307,968.30
  6. Step 6: Final answer
    x = 121,113,461,952.45

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Double scale
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1.5x scale

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.