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Finding the Fourth Proportional to 98,956,776,008.40, 148,435,164,012.60 and 98,956,776,008.40

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Solution

The fourth proportional to 98,956,776,008.40, 148,435,164,012.60 and 98,956,776,008.40 is: 148,435,164,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,956,776,008.40 : 148,435,164,012.60 = 98,956,776,008.40 : x
  2. Step 2: Convert to fraction form
    98,956,776,008.40/148,435,164,012.60 = 98,956,776,008.40/x
  3. Step 3: Cross multiply
    98,956,776,008.40x = 148,435,164,012.60 × 98,956,776,008.40
  4. Step 4: Simplify right side
    98,956,776,008.40x = 14,688,665,276,964,973,576,192
  5. Step 5: Solve for x
    x = 14,688,665,276,964,973,576,192/98,956,776,008.40
  6. Step 6: Final answer
    x = 148,435,164,012.60

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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.