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Finding the Fourth Proportional to 97,898,382,005.60, 146,847,573,008.40 and 97,898,382,005.60

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Solution

The fourth proportional to 97,898,382,005.60, 146,847,573,008.40 and 97,898,382,005.60 is: 146,847,573,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,898,382,005.60 : 146,847,573,008.40 = 97,898,382,005.60 : x
  2. Step 2: Convert to fraction form
    97,898,382,005.60/146,847,573,008.40 = 97,898,382,005.60/x
  3. Step 3: Cross multiply
    97,898,382,005.60x = 146,847,573,008.40 × 97,898,382,005.60
  4. Step 4: Simplify right side
    97,898,382,005.60x = 14,376,139,798,971,580,153,856
  5. Step 5: Solve for x
    x = 14,376,139,798,971,580,153,856/97,898,382,005.60
  6. Step 6: Final answer
    x = 146,847,573,008.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.