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Finding the Fourth Proportional to 208,059,152,045.60, 312,088,728,068.40 and 208,059,152,045.60

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Solution

The fourth proportional to 208,059,152,045.60, 312,088,728,068.40 and 208,059,152,045.60 is: 312,088,728,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,059,152,045.60 : 312,088,728,068.40 = 208,059,152,045.60 : x
  2. Step 2: Convert to fraction form
    208,059,152,045.60/312,088,728,068.40 = 208,059,152,045.60/x
  3. Step 3: Cross multiply
    208,059,152,045.60x = 312,088,728,068.40 × 208,059,152,045.60
  4. Step 4: Simplify right side
    208,059,152,045.60x = 64,932,916,124,901,158,420,480
  5. Step 5: Solve for x
    x = 64,932,916,124,901,158,420,480/208,059,152,045.60
  6. Step 6: Final answer
    x = 312,088,728,068.40

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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.