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Finding the Fourth Proportional to 459,681,521,036.40, 689,522,281,554.60 and 459,681,521,036.40

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Solution

The fourth proportional to 459,681,521,036.40, 689,522,281,554.60 and 459,681,521,036.40 is: 689,522,281,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,681,521,036.40 : 689,522,281,554.60 = 459,681,521,036.40 : x
  2. Step 2: Convert to fraction form
    459,681,521,036.40/689,522,281,554.60 = 459,681,521,036.40/x
  3. Step 3: Cross multiply
    459,681,521,036.40x = 689,522,281,554.60 × 459,681,521,036.40
  4. Step 4: Simplify right side
    459,681,521,036.40x = 316,960,651,173,507,396,272,128
  5. Step 5: Solve for x
    x = 316,960,651,173,507,396,272,128/459,681,521,036.40
  6. Step 6: Final answer
    x = 689,522,281,554.60

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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.