Finding the Fourth Proportional to 2,547,606,292,271.10, 3,821,946,133,068.80 and 826,420,235,903.34
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Solution
The fourth proportional to 2,547,606,292,271.10, 3,821,946,133,068.80 and 826,420,235,903.34 is: 1,239,804,452,706.41
Step by Step Solution
- Step 1: Write the proportion equation
2,547,606,292,271.10 : 3,821,946,133,068.80 = 826,420,235,903.34 : x - Step 2: Convert to fraction form
2,547,606,292,271.10/3,821,946,133,068.80 = 826,420,235,903.34/x - Step 3: Cross multiply
2,547,606,292,271.10x = 3,821,946,133,068.80 × 826,420,235,903.34 - Step 4: Simplify right side
2,547,606,292,271.10x = 3,158,533,624,900,575,440,142,336 - Step 5: Solve for x
x = 3,158,533,624,900,575,440,142,336/2,547,606,292,271.10 - Step 6: Final answer
x = 1,239,804,452,706.41
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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.