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Finding the Fourth Proportional to 80,742,307,970.37, 121,113,461,955.54 and 80,742,307,970.37

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Solution

The fourth proportional to 80,742,307,970.37, 121,113,461,955.54 and 80,742,307,970.37 is: 121,113,461,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,742,307,970.37 : 121,113,461,955.54 = 80,742,307,970.37 : x
  2. Step 2: Convert to fraction form
    80,742,307,970.37/121,113,461,955.54 = 80,742,307,970.37/x
  3. Step 3: Cross multiply
    80,742,307,970.37x = 121,113,461,955.54 × 80,742,307,970.37
  4. Step 4: Simplify right side
    80,742,307,970.37x = 9,778,980,444,571,296,595,968
  5. Step 5: Solve for x
    x = 9,778,980,444,571,296,595,968/80,742,307,970.37
  6. Step 6: Final answer
    x = 121,113,461,955.54

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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.