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Finding the Fourth Proportional to 114,920,434,547.60, 172,380,651,821.40 and 114,920,434,547.60

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Solution

The fourth proportional to 114,920,434,547.60, 172,380,651,821.40 and 114,920,434,547.60 is: 172,380,651,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,920,434,547.60 : 172,380,651,821.40 = 114,920,434,547.60 : x
  2. Step 2: Convert to fraction form
    114,920,434,547.60/172,380,651,821.40 = 114,920,434,547.60/x
  3. Step 3: Cross multiply
    114,920,434,547.60x = 172,380,651,821.40 × 114,920,434,547.60
  4. Step 4: Simplify right side
    114,920,434,547.60x = 19,810,059,414,913,821,966,336
  5. Step 5: Solve for x
    x = 19,810,059,414,913,821,966,336/114,920,434,547.60
  6. Step 6: Final answer
    x = 172,380,651,821.40

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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.