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Finding the Fourth Proportional to 502,000,713,088.40, 753,001,069,632.60 and 502,000,713,088.40

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Solution

The fourth proportional to 502,000,713,088.40, 753,001,069,632.60 and 502,000,713,088.40 is: 753,001,069,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,000,713,088.40 : 753,001,069,632.60 = 502,000,713,088.40 : x
  2. Step 2: Convert to fraction form
    502,000,713,088.40/753,001,069,632.60 = 502,000,713,088.40/x
  3. Step 3: Cross multiply
    502,000,713,088.40x = 753,001,069,632.60 × 502,000,713,088.40
  4. Step 4: Simplify right side
    502,000,713,088.40x = 378,007,073,911,893,152,235,520
  5. Step 5: Solve for x
    x = 378,007,073,911,893,152,235,520/502,000,713,088.40
  6. Step 6: Final answer
    x = 753,001,069,632.60

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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.