Finding the Fourth Proportional to 1,878,878,185,566.10, 2,817,163,871,352.90 and 730,169,156,932.48
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Solution
The fourth proportional to 1,878,878,185,566.10, 2,817,163,871,352.90 and 730,169,156,932.48 is: 1,094,805,498,668.67
Step by Step Solution
- Step 1: Write the proportion equation
1,878,878,185,566.10 : 2,817,163,871,352.90 = 730,169,156,932.48 : x - Step 2: Convert to fraction form
1,878,878,185,566.10/2,817,163,871,352.90 = 730,169,156,932.48/x - Step 3: Cross multiply
1,878,878,185,566.10x = 2,817,163,871,352.90 × 730,169,156,932.48 - Step 4: Simplify right side
1,878,878,185,566.10x = 2,057,006,168,886,388,333,740,032 - Step 5: Solve for x
x = 2,057,006,168,886,388,333,740,032/1,878,878,185,566.10 - Step 6: Final answer
x = 1,094,805,498,668.67
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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.