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Finding the Fourth Proportional to 202,984,704,397.60, 304,477,056,596.40 and 202,984,704,397.60

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Solution

The fourth proportional to 202,984,704,397.60, 304,477,056,596.40 and 202,984,704,397.60 is: 304,477,056,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,984,704,397.60 : 304,477,056,596.40 = 202,984,704,397.60 : x
  2. Step 2: Convert to fraction form
    202,984,704,397.60/304,477,056,596.40 = 202,984,704,397.60/x
  3. Step 3: Cross multiply
    202,984,704,397.60x = 304,477,056,596.40 × 202,984,704,397.60
  4. Step 4: Simplify right side
    202,984,704,397.60x = 61,804,185,329,071,583,920,128
  5. Step 5: Solve for x
    x = 61,804,185,329,071,583,920,128/202,984,704,397.60
  6. Step 6: Final answer
    x = 304,477,056,596.40

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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.