Finding the Fourth Proportional to 1,828,666,011.84, 2,523,768,444.24 and 1,025,110,541.76
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Solution
The fourth proportional to 1,828,666,011.84, 2,523,768,444.24 and 1,025,110,541.76 is: 1,414,769,903.53
Step by Step Solution
- Step 1: Write the proportion equation
1,828,666,011.84 : 2,523,768,444.24 = 1,025,110,541.76 : x - Step 2: Convert to fraction form
1,828,666,011.84/2,523,768,444.24 = 1,025,110,541.76/x - Step 3: Cross multiply
1,828,666,011.84x = 2,523,768,444.24 × 1,025,110,541.76 - Step 4: Simplify right side
1,828,666,011.84x = 2,587,141,637,151,658,496 - Step 5: Solve for x
x = 2,587,141,637,151,658,496/1,828,666,011.84 - Step 6: Final answer
x = 1,414,769,903.53
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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.