Finding the Fourth Proportional to 1,472,861,881,660.90, 2,032,254,610,851.80 and 822,440,388,358.75
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Solution
The fourth proportional to 1,472,861,881,660.90, 2,032,254,610,851.80 and 822,440,388,358.75 is: 1,134,803,128,659.98
Step by Step Solution
- Step 1: Write the proportion equation
1,472,861,881,660.90 : 2,032,254,610,851.80 = 822,440,388,358.75 : x - Step 2: Convert to fraction form
1,472,861,881,660.90/2,032,254,610,851.80 = 822,440,388,358.75/x - Step 3: Cross multiply
1,472,861,881,660.90x = 2,032,254,610,851.80 × 822,440,388,358.75 - Step 4: Simplify right side
1,472,861,881,660.90x = 1,671,408,271,392,814,825,209,856 - Step 5: Solve for x
x = 1,671,408,271,392,814,825,209,856/1,472,861,881,660.90 - Step 6: Final answer
x = 1,134,803,128,659.98
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.