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Finding the Fourth Proportional to 890,376,602,502.90, 1,335,564,903,754.40 and 890,376,602,502.90

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Solution

The fourth proportional to 890,376,602,502.90, 1,335,564,903,754.40 and 890,376,602,502.90 is: 1,335,564,903,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,376,602,502.90 : 1,335,564,903,754.40 = 890,376,602,502.90 : x
  2. Step 2: Convert to fraction form
    890,376,602,502.90/1,335,564,903,754.40 = 890,376,602,502.90/x
  3. Step 3: Cross multiply
    890,376,602,502.90x = 1,335,564,903,754.40 × 890,376,602,502.90
  4. Step 4: Simplify right side
    890,376,602,502.90x = 1,189,155,741,426,955,296,178,176
  5. Step 5: Solve for x
    x = 1,189,155,741,426,955,296,178,176/890,376,602,502.90
  6. Step 6: Final answer
    x = 1,335,564,903,754.40

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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.